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Search results for: GRAPH COLORING
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The circular chromatic index of some class 2 graphs
PublicationW artykule został wyznaczony cyrkularny indeks chromatyczny dla dwóch rodzin grafów klasy 2. Co więcej, podano nie trywialne oszacowania tego parametru dla snarków Isaacsa i Goldberga. Na koniec artykułu rozważana jest złożoność obliczeniowa problemów związanych z cyrkularnym kolorowaniem krawędzi.
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Metaheurystyki sztucznej inteligencji w wybranych grach komputerowych
PublicationW pracy omówiono trzy metaheurystyki sztucznej inteligencji, które mogą stać się źródłem inspiracji dla projektantów gier komputerowych. Pokazano, w jaki sposób zastosowano algorytm mrówkowy, algorytm genetyczny i algorytm tabu search w grach komputerowych zaprojektowanych przez studentów Politechniki Gdańskiej. W szczególności, odniesiono się do problematyki wyznaczania trajektorii przemieszczających się obiektów...
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A note on the strength and minimum color sum of bipartite graphs
PublicationSiłą grafu G nazywamy najmniejszą liczbę całkowitą s, taką że istniej pokolorowanie grafu G, o minimalnej sumie przy użyciu kolorów {1,...,s}. W pracy pokazano, że w grafach dwudzielnych stopnia D zachodzi oszacowanie s <= ceil(D/2) + 1. Z obserwacji tej wynika algorytm wielomianowy do obliczania siły i sumy chromatycznej w grafach dwudzielnych stopnia co najwyżej 4.
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Rendezvous of Distance-Aware Mobile Agents in Unknown Graphs
PublicationWe study the problem of rendezvous of two mobile agents starting at distinct locations in an unknown graph. The agents have distinct labels and walk in synchronous steps. However the graph is unlabelled and the agents have no means of marking the nodes of the graph and cannot communicate with or see each other until they meet at a node. When the graph is very large we want the time to rendezvous to be independent of the graph size...
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The paired-domination and the upper paired-domination numbers of graphs
PublicationIn this paper we obtain the upper bound for the upper paired-domination number and we determine the extremal graphs achieving this bound. Moreover we determine the upper paired- domination number for cycles.
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Modeling and analysis of the effectiveness of the guard systemswith dynamic graphs
PublicationIn the following paper it will be presented a new model for analysis (in polynomial time) of the effectiveness of the guard systems. Therewill be presented its practical applications in problems such as searching for the weakest points of the system, planning guards' paths or cameras deployment, switching image from multiple cameras on several monitors, or interception of the intruder. This model is based on describing the guarded...
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The maximum edge-disjoint paths problem in complete graphs
PublicationRozważono problem ścieżek krawędziowo rozłącznych w grafach pełnych. Zaproponowano wielomianowe algorytmy: 3.75-przybliżony (off-line) oraz 6.47-przybliżony (on-line), poprawiając tym samym wyniki wcześniej znane z literatury [P. Carmi, T. Erlebach, Y. Okamoto, Greedy edge-disjoint paths in complete graphs, in: Proc. 29th Workshop on Graph Theoretic Concepts in Computer Science, in: LNCS, vol. 2880, 2003, pp. 143-155]. Ponadto...
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Total domination in versus paired-domination in regular graphs
PublicationA subset S of vertices of a graph G is a dominating set of G if every vertex not in S has a neighbor in S, while S is a total dominating set of G if every vertex has a neighbor in S. If S is a dominating set with the additional property that the subgraph induced by S contains a perfect matching, then S is a paired-dominating set. The domination number, denoted γ(G), is the minimum cardinality of a dominating set of G, while the...
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Graphs with isolation number equal to one third of the order
PublicationA set D of vertices of a graph G is isolating if the set of vertices not in D and with no neighbor in D is independent. The isolation number of G, denoted by \iota(G) , is the minimum cardinality of an isolating set of G. It is known that \iota(G) \leq n/3 , if G is a connected graph of order n, , distinct from C_5 . The main result of this work is the characterisation of unicyclic and block graphs of order n with isolating number...
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Paired domination versus domination and packing number in graphs
PublicationGiven a graph G = (V(G), E(G)), the size of a minimum dominating set, minimum paired dominating set, and a minimum total dominating set of a graph G are denoted by γ (G), γpr(G), and γt(G), respectively. For a positive integer k, a k-packing in G is a set S ⊆ V(G) such that for every pair of distinct vertices u and v in S, the distance between u and v is at least k + 1. The k-packing number is the order of a largest kpacking and...
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Scheduling on Uniform and Unrelated Machines with Bipartite Incompatibility Graphs
PublicationThe problem of scheduling jobs on parallel machines under an incompatibility relation is considered in this paper. In this model, a binary relation between jobs is given and no two jobs that are in the relation can be scheduled on the same machine. We consider job scheduling under the incompatibility relation modeled by a bipartite graph, under the makespan optimality criterion, on uniform and unrelated machines. Unrelated machines...
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Block graphs with large paired domination multisubdivision number
PublicationThe paired domination multisubdivision number of a nonempty graph G, denoted by msdpr(G), is the smallest positive integer k such that there exists an edge which must be subdivided k times to increase the paired domination number of G. It is known that msdpr(G) ≤ 4 for all graphs G. We characterize block graphs with msdpr(G) = 4.
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Cops, a fast robber and defensive domination on interval graphs
PublicationThe game of Cops and ∞-fast Robber is played by two players, one controlling c cops, the other one robber. The players alternate in turns: all the cops move at once to distance at most one each, the robber moves along any cop-free path. Cops win by sharing a vertex with the robber, the robber by avoiding capture indefinitely. The game was proposed with bounded robber speed by Fomin et al. in “Pursuing a fast robber on a graph”,...
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Packing [1,Delta]-factors in graphs of small degree
PublicationRozważano problem znalezienia w grafie zadanej liczby k krawędziowo rozłącznych [1,Delta]-faktorów, gdzie Delta oznacza stopień grafu. Problem ten można rozwiązać w czasie liniowym dla k=2, jest on jednak NP-trudny dla każdego k>=3. Pokazano, że wariant minimalizacjny problemu dla k=2 jest NP-trudny dla grafów planarnych podkubicznych, jednak w ogólności istnieje algorytm (42 Delta - 30) / (35 Delta - 21) - aproksymacyjny.
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Ramsey numbers for triangles versus almost-complete graphs.
PublicationPokazano, że w każdym krawędziowym pokolorowaniu dwoma kolorami grafu pełnego o 38 wierzchołkach występuje trójkąt w pierwszym kolorze lub podgraf izomorficzny z K_10 - e w drugim kolorze. Stąd otrzymujemy górne oszacowanie R(K_3, K_10 - e) <= 38. Przedstawiamy także pokolorowanie krawędziowe grafu K_36, którego istnienie dowodzi, że R(K_3, K_10 - e) >= 37.
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Processing of musical metadata employing Pawlak's flow graphs.
PublicationW artykule przedstawiono problemy wyszukiwania informacji muzycznej. W eksperymentach posłużono się meta opisem oraz wykorzystano metodę grafów przepływowych Pawlaka. Opisano skonstruowaną bazę nagrań muzycznych. Słowa kluczowe: meta opis, wyszukiwanie informacji muzycznej, baza danych muzycznych
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Music Archive Metadata Processing Based on Flow Graphs.
PublicationW referacie zaproponowano metodykę wyszukiwania informacji muzycznej w bazach internetowych w oparciu o meta opis. Skonstruowany algorytm wykorzystuje grafy przepływowe Pawlaka.
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Domination numbers in graphs with removed edge or set of edges
PublicationW artykule przedstawiony jest wpływ usuwania krawędzi lub zbioru krawędzi na liczby dominowania spójnego i słabo spójnego.
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Graph Neural Networks and Structural Information on Ionic Liquids: A Cheminformatics Study on Molecular Physicochemical Property Prediction
PublicationIonic liquids (ILs) provide a promising solution in many industrial applications, such as solvents, absorbents, electrolytes, catalysts, lubricants, and many others. However, due to the enormous variety of their structures, uncovering or designing those with optimal attributes requires expensive and exhaustive simulations and experiments. For these reasons, searching for an efficient theoretical tool for finding the relationship...
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Porous structures in aspects of transpirating cooling of oxycombustion chamber walls
PublicationA wet oxycombustion chamber, which must be effectively cooled due to high temperature evolved during the oxy-combustion process, by using the phenomena of Reynolds thermal transpiration and Navier slip velocity. Closures needed to execute mass flow rate in a microchannel, which should be treated as a single porous structure in the walls of the combustion chamber, have been obtained by applying a local 3D approach. The Navier-Stokes...
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Anchoring and mooring equipment for a two-segment inland waterways ship
PublicationW artykule dokonano przeglądu i analizy wyposażenia kotwiczno-cumowniczego współczesnych statków śródlądowych. Przedstawiono także propozycję takiego wyposażenia dla segmentowego statku pasażerskiego wraz z doborem i rozmieszczeniem na pokładzie poszczególnych urządzeń.
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Heat transfer characteristics of hybrid microjet -microchannel cooling module
PublicationThe paper presents the experimental investigation of heat transfer intensification in a microjet- microchannel cooling module. Applied technology takes benefits from two very attractive heat removal techniques. When jets are impinging on the surface, they have a very high kinetic energy at the stagnation point, also in microchannels boundary layer is very thin allowing to obtain very high heat fluxes. Main objective of this paper...
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Desiccant cooling system with direct fired biogas reactivitation heater.
PublicationPraca przedstawia możliwości wykorzystania w chłodnictwie i klimatyzacji gazu pochodzącego z biomasy. Spalanie gazu może zapewnić ciepło do zasilania zarówno absorpcyjnych urządzeń chłodniczych, jak i adsorpcyjnych urządzeń klimatyzacyjnych. Przedstawiono bieżące trendy występujące w konstrukcjach adsorpcyjnych urządzeń klimatyzacyjnych.
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Experimental and theoretical study of surface cooling using a single microjet
PublicationPrzedstawiono wyniki badań eksperymentalnych intensyfikacji wymiany ciepła przy pomocy pojedynczych strug wody i powietrza.Uzyskana na podstawie wyników korelacja, opisująca współczynnik przejmowania ciepła, posłużyła do weryfikacji modelu opracowanego wcześniej przez Mikielewicza (2007).
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Thermal Barrier as a technique of indirect heating and cooling for residential buildings
PublicationW artykule zaprezentowano koncept pośredniego ogrzewania i chłodzenia budynków mieszkalnych promieniowaniem słonecznym zwany barierą termiczną. System składa się z polipropylenowych rurek umieszczonych w ścianach zewnętrznych, w których znajduje się płyn. Koncept jest zastosowany do stabilizacji i redukcji przepływu ciepła w kierunku prostopadłym do ścian. Wykonano obszerne obliczenia MES z zastosowaniem nowego systemu kontroli,...
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Heat transfer characteristics of hybrid microjet – Microchannel cooling module
PublicationThe paper presents experimental investigation of heat transfer intensification in a microjet–microchannel cooling module. Applied technology takes benefits from two very attractive heat removal techniques. When jets are impinging on the surface, they have a very high kinetic energy at the stagnation point, also in microchannels boundary layer is very thin allowing to obtain very high heat fluxes. Main objective of this paper was...
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Beeswax And Palmitic Acid Utilization With Heat Pipes For Electronics Cooling
PublicationThis paper presents an experimental study of heat pipes supported by phase change materials (PCMs) coated at their adiabatic sections in application for electronics cooling. The PCMs investigated in this research were palmitic acid and beeswax, the latter being considered as a more cost-effective alternative. The study focused on three powers: 20W, 25W, and 30W. The experimental results revealed that the incorporation of palmitic...
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Innovative Turbine Intake Air Cooling Systems and Their Rational Designing
PublicationThe improved methodology of the engine intake air cooling system designing based on the annual effect due to cooling was developed. It involves determining the optimal value of cooling capacity, providing the minimum system sizes at maximum rate of annual effect increment, and its rational value, providing a close to maximum annual effect without system oversizing at the second maximum rate of annual effect increment within the...
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Sodium nitrite as a corrosion inhibitor of copper in simulated cooling water
PublicationThe corrosion inhibition behavior of sodium nitrite (NaNO2) towards pure copper (99.95%) in simulated cooling water (SCW) was investigated by means of electrochemical impedance spectroscopy (EIS) and dynamic electrochemical impedance spectroscopy (DEIS). NaNO2 interferes with metal dissolution and reduce the corrosion rate through the formation or maintenance of inhibitive film on the metal surface. Surface morphologies illustrated...
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Some variants of perfect graphs related to the matching number, the vertex cover and the weakly connected domination number
PublicationGiven two types of graph theoretical parameters ρ and σ, we say that a graph G is (σ, ρ)- perfect if σ(H) = ρ(H) for every non-trivial connected induced subgraph H of G. In this work we characterize (γw, τ )-perfect graphs, (γw, α′)-perfect graphs, and (α′, τ )-perfect graphs, where γw(G), τ (G) and α′(G) denote the weakly connected domination number, the vertex cover number and the matching number of G, respectively. Moreover,...
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Application of social relation graphs for early detection of transient spammers
PublicationWczesne wykrywanie społecznych zagrożeń i anomalii jest prawdziwym wyzwaniem w dzisiejszch, dynamicznych społeczeństwach. Ludzie tworzą skoplikowane relacje społeczne, które mogą być przedstawione za pomocą różnych typów grafów, których wierzchołki reprezentować mogą aktorów sieci (konkretne osoby lub organizacje) a krawędzie relacje pomiędzy nimi. Analiza tych dynamicznie zmieniających się relacji może wskazywać na niektóre nadciągające...
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Approximation strategies for routing edge disjoint paths in complete graphs
PublicationPraca dotyczy problemu ścieżek krawędziowo rozłącznych w nieskierowanych grafach pełnych, dla którego podano nowe algorytmy przybliżone: 3.75-przybliżony (model off-line) i 6.47-przybliżony (model on-line). Stosując podobną metodologię, uzyskano algorytm 4.5-przybliżony (off-line) i 6-przybliżony (on-line) dla problemu routingu i kolorowania ścieżek w grafach pełnych.
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Modelling and analysis of beam/bar structure by application of bond graphs
PublicationThe paper presents an uniform, port-based approach to modelling of beam/bar systems (trusses). Port-based model of such distributed parameter system has been defined by application of the bond graph methodology and the distributed transfer function method (DTFM). The proposed method of modelling enables to formulate input data for computer analysis by application of the DTFM. The constructed computational package enables the frequency...
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Synchronization helps robots to detect black holes in directed graphs
PublicationPraca zawiera nowe wyniki dla problemu poszukiwania czarnej dziury w grafie skierowanym przez zbiór agentów. Czarna dziura jest węzłem niszczącym wszystkich wchodzącej do niej agentów. Pokazano, że w przypadku, gdy stopień wejściowy czarnej dziury wynosi D, do przeszukania grafu skierowanego w modelu synchronicznym wystarcza O(D 2^D) agentów. Wartość ta jest bliska znanemu z literatury oszacowaniu dolnemu Omega (2^D). W pracy pokazano...
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Average distance is submultiplicative and subadditive with respect to the strong product of graphs
PublicationWe show that the average distance is submultiplicative and subadditive on the set of non-trivial connected graphs with respect to the strong product. We also give an application of the above-mentioned result.
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Packing Three-Vertex Paths in 2-Connected Cubic Graphs
PublicationW pracy rozważano problem rozmieszczanie ścieżek P3 w 2-spójnych grafach 3-regularnych. Pokazano, że w 2-spójnym grafie 3-regularnym o n wierzchołkach można zawsze pokryć 9/11 n wierzchołków przez ścieżki P3; podano także odpowiednie oszacowania górne.
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Weakly convex and convex domination numbers of some products of graphs
PublicationIf $G=(V,E)$ is a simple connected graph and $a,b\in V$, then a shortest $(a-b)$ path is called a $(u-v)$-{\it geodesic}. A set $X\subseteq V$ is called {\it weakly convex} in $G$ if for every two vertices $a,b\in X$ exists $(a-b)$- geodesic whose all vertices belong to $X$. A set $X$ is {\it convex} in $G$ if for every $a,b\in X$ all vertices from every $(a-b)$-geodesic belong to $X$. The {\it weakly convex domination number}...
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Quantum strategies for rendezvous and domination tasks on graphs with mobile agents
PublicationThis paper explores the application of quantum nonlocality, a renowned and unique phenomenon acknowledged as a valuable resource. Focusing on an alternative application, we demonstrate its quantum advantage for mobile agents engaged in specific distributed tasks without communication. The research addresses the significant challenge of rendezvous on graphs and introduces a distributed task for mobile agents grounded in the graph...
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An Efficient Noisy Binary Search in Graphs via Median Approximation
PublicationConsider a generalization of the classical binary search problem in linearly sorted data to the graph-theoretic setting. The goal is to design an adaptive query algorithm, called a strategy, that identifies an initially unknown target vertex in a graph by asking queries. Each query is conducted as follows: the strategy selects a vertex q and receives a reply v: if q is the target, then =, and if q is not the target, then v is a...
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Monitoring of Chlorine Concentration in Drinking Water Distribution Systems Using an Interval Estimator
PublicationThis paper describes the design of an interval observer for the estimation of unmeasured quality state variables in drinking water distribution systems. The estimator utilizes a set bounded model of uncertainty to produce robust interval bounds on the estimated state variables of the water quality. The bounds are generated by solving two differential equations. Hence the numerical efficiency is sufficient for on-line monitoring...
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The Aerophytic Diatom Assemblages Developed on Mosses Covering the Bark of Populus alba L.
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Determination of chlorine concentration using single temperature modulated semiconductor gas sensor
PublicationA periodic temperature modulation using sinusoidal heater voltage was applied to a commercial SnO2 semiconductor gas sensor. Resulting resistance response of the sensor was analyzed using a feature extraction method based on Fast Fourier Transformation (FFT). The amplitudes of the higher harmonics of the FFT from the dynamic nonlinear responses of measured gas were further utilized as an input for Artificial Neural...
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Boosting of photocatalytic hydrogen evolution via chlorine doping of polymeric carbon nitride
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Research on the phenomena of warming up and free cooling down the car engine
PublicationThe average cold start temperature in Europe is 9 degrees C. However, not the average is the most important for the composition of exhaust gases and associated air pollution. The most onerous for the environment are the winter starts when automotive emissions of harmful gases add up in cities with those of home heating systems. The paper presents preliminary studies of warming up and cooling down processes in various environmental conditions....
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Metrological analysis of surface quality aspects in minimum quantity cooling lubrication
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The influence of the cooling conditions on the cutting tool wear and the chip formation mechanism
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Numerical simulations of transonic flow with film cooling and jet vortex generators
PublicationW pracy przedstawiono wyniki obliczeń przepływu transonicznego na stronie ssącej łopatki turbiny gazowej. Obliczenia wykonano dla geometrii komory pomiarowej w tunelu transonicznym IMP PAN, zaprojektowanej tak, aby odwzorować warunki przepływowe istniejące w palisadzie turbinowej. Przedstawiono wyniki obliczeń przepływu z zastosowaniem otworów chłodzących (film cooling) oraz strumieniowych generatorów wirów. Porównano je z danymi...
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Comparison of single microjet cooling with water, ethanol and HFE7100 as test fluids
PublicationThe paper presents the investigation of a single microjet cooling forming an thin liquid film on the impingement surface of specially designed rig. The basis of microjet technology is to produce laminar jets, which when impinging the surface have a very high kinetic energy at the stagnation point. Applied technology of jet production can result with the size of jets ranging from 20 to 500μm in breadth and 20 to 100μm in width....
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Interaction of Acoustic and Thermal Modes in the Vibrationally Relaxing Gases. Acoustic Cooling
PublicationThe dynamic equation which governs an excess temperature associated with the thermal mode in vibrationally relaxing gas is derived. The nonlinear transfer of acoustic energy to the energy of the thermal mode in a relaxing gas causes slow variation of temperature with time. The nal dynamic equation is instantaneous. All types of sound, including aperiodic, may be considered as an acoustic source of corresponding heating or cooling....
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Effect of conventional cooking on changes in the contents of basic composition and glucosinolates in kale
PublicationBrassica vegetables have been strongly recommended as part of human diet because of its high content of bioactive sulphur compounds, eg glucosinolates. The nutrient and health promoting compounds in kale are significantly affected by traditional cooking. The study investigated changes in the levels of dry mass, ash, fat, total protein, dietary fibre as well as total and individual glucosinolates in the kale due to the traditional...