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Wyniki wyszukiwania dla: GRAPH DECONTAMINATION
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Methods of Assessment of Metal Contamination in Bottom Sediments (Case Study: Straszyn Lake, Poland)
PublikacjaThe concentrations of six metals (Zn, Cu, Pb, Ni, Cr, and Cd) were investigated in bottom sediments of Straszyn Lake (North Poland). This study was designed to determine a total content of metals and to assess their mobility and bioavailability. The sequential extraction was used to fractionate metals into five fractions: exchangeable, bound to carbonates, bound to Fe–Mn oxides, bound to organic matter, and residual. The evaluation...
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Heavy Metals in Sediments of Urban Streams: Contamination and Health Risk Assessment of Influencing Factors
PublikacjaSediments of two urban streams in northern Poland outflowing to the Baltic Sea were assessed to explain the spatial variation in relation to urbanization level of the catchment, the role of retention tanks (RTs) and identification of pollution level. During the 3 month period of investigation sediment samples were collected from the inflow (IN) and outflow (OUT) of six RTs located on streams for flood protection. Six heavy metals...
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Sources of contamination in sediments of retention tanks and the influence of precipitation type on the size of pollution load
PublikacjaDensification of cities and urban population contributes to increased runoff and suspended solids and alteration of the urban water cycle. Nowadays, Blue-Green Infrastructure is promoted to increase a city’s resilience to floods; however, stormwater drainage systems, supported with retention tanks are still important in protecting urban areas against floods. Sediment accumulation in stormwater infrastructure relates to an issue...
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Application of Graph Theory Algorithms in Non-disjoint Functional Decomposition of Specific Boolean Functions
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Similarities and Differences Between the Vertex Cover Number and the Weakly Connected Domination Number of a Graph
PublikacjaA vertex cover of a graph G = (V, E) is a set X ⊂ V such that each edge of G is incident to at least one vertex of X. The ve cardinality of a vertex cover of G. A dominating set D ⊆ V is a weakly connected dominating set of G if the subgraph G[D]w = (N[D], Ew) weakly induced by D, is connected, where Ew is the set of all edges having at least one vertex in D. The weakly connected domination number γw(G) of G is the minimum cardinality...
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Parallel query processing and edge ranking of graphs
PublikacjaArtykuł poświęcony jest problemowi szukania drzewa spinającego o minimalnym uporządkowanym indeksie chromatycznym. Jednym z zastosowań jest poszukiwanie optymalnych harmonogramów w równoległym przetwarzaniu zapytań w relacyjnych bazach danych. Podajemy nowe oszacowanie funkcji dobroci przybliżonego algorytmu autorstwa Makino, Uno i Ibaraki wraz z rezultatami testów komputerowych przeprowadzonych dla grafów losowych.
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program verification strategy and edge ranking of graphs
PublikacjaW artykule rozważamy model, w którym zakładamy, że dany jest zbiór asercji/testów dla pewnych bloków programu. Celem jest znalezienie optymalnej, tzn. wymagającej wykonania minimalnej liczby testów strategii wyszukiwania błędu w kodzie programu. Pomimo założenia w modelu, iż program posiada dokładnie jeden błąd, rozważania można uogólnić na testowanie kodu z dowolną liczbą błędów. Analizujemy teoretyczne własności tego modelu oraz...
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Strong weakly connected domination subdivisible graphs
PublikacjaArtykuł dotyczy wpływu podziału krawędzi na liczbę dominowania słabo spójnego. Charakteryzujemy grafy dla których podział dowolnej krawędzi zmienia liczbę dominowania słabo spójnego oraz grafy dla których podział dowolnych dwóch krawędzi powoduje zmianę liczby dominowania słabo spójnego.
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On extremal sizes of locally k-tree graphs
PublikacjaA graph G is a locally k-tree graph if for any vertex v the subgraph induced by the neighbours of v is a k-tree, k>=0, where 0-tree is an edgeless graph, 1-tree is a tree. We characterize the minimum-size locally k-trees with n vertices. The minimum-size connected locally k-trees are simply (k + 1)-trees. For k >= 1, we construct locally k-trees which are maximal with respect to the spanning subgraph relation. Consequently, the...
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Sum Coloring of Bipartite Graphs with Bounded Degree
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On the size of identifying codes in triangle-free graphs
PublikacjaIn an undirected graph G, a subset C⊆V(G) such that C is a dominating set of G, and each vertex in V(G) is dominated by a distinct subset of vertices from C, is called an identifying code of G. The concept of identifying codes was introduced by Karpovsky, Chakrabarty and Levitin in 1998. For a given identifiable graph G, let gammaID(G) be the minimum cardinality of an identifying code in G. In this paper, we show that for any connected...
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SELECTED ASPECTS OF THE EVALUATION OF THE QUALITY OF GRAPE WINE
PublikacjaDevelopment of the domestic grape wine market has been presented. The number of grape wine producing entities, acreage, and volume of production over last five years are presented. The composition of red grape wine has been discussed involving health promoting aspects. Two methods of wine quality determination: analytical and sensory meth ods have been described. Physicochemical parameters influencing wine quali ty (acidity, sweetness)...
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Towards Increasing Density of Relations in Category Graphs
PublikacjaIn the chapter we propose methods for identifying new associations between Wikipedia categories. The first method is based on Bag-of-Words (BOW) representation of Wikipedia articles. Using similarity of the articles belonging to different categories allows to calculate the information about categories similarity. The second method is based on average scores given to categories while categorizing documents by our dedicated score-based...
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Bipartite theory of graphs: outer-independent domination
PublikacjaLet $G = (V,E)$ be a bipartite graph with partite sets $X$ and $Y$. Two vertices of $X$ are $X$-adjacent if they have a common neighbor in $Y$, and they are $X$-independent otherwise. A subset $D \subseteq X$ is an $X$-outer-independent dominating set of $G$ if every vertex of $X \setminus D$ has an $X$-neighbor in $D$, and all vertices of $X \setminus D$ are pairwise $X$-independent. The $X$-outer-independent domination number...
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Graphs with equal domination and certified domination numbers
PublikacjaA setDof vertices of a graphG= (VG,EG) is a dominating set ofGif every vertexinVG−Dis adjacent to at least one vertex inD. The domination number (upper dominationnumber, respectively) ofG, denoted byγ(G) (Γ(G), respectively), is the cardinality ofa smallest (largest minimal, respectively) dominating set ofG. A subsetD⊆VGis calleda certified dominating set ofGifDis a dominating set ofGand every vertex inDhas eitherzero...
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Chromatic cost coloring of weighted bipartite graphs
PublikacjaGiven a graph G and a sequence of color costs C, the Cost Coloring optimization problem consists in finding a coloring of G with the smallest total cost with respect to C. We present an analysis of this problem with respect to weighted bipartite graphs. We specify for which finite sequences of color costs the problem is NP-hard and we present an exact polynomial algorithm for the other finite sequences. These results are then extended...
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On the super domination number of lexicographic product graphs
PublikacjaThe neighbourhood of a vertexvof a graphGis the setN(v) of all verticesadjacent tovinG. ForD⊆V(G) we defineD=V(G)\D. A setD⊆V(G) is called a super dominating set if for every vertexu∈D, there existsv∈Dsuch thatN(v)∩D={u}. The super domination number ofGis theminimum cardinality among all super dominating sets inG. In this article weobtain closed formulas and tight bounds for the super dominating number oflexicographic product...
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Domination subdivision and domination multisubdivision numbers of graphs
PublikacjaThe domination subdivision number sd(G) of a graph G is the minimum number of edges that must be subdivided (where an edge can be subdivided at most once) in order to increase the domination number of G. It has been shown [10] that sd(T)<=3 for any tree T. We prove that the decision problem of the domination subdivision number is NP-complete even for bipartite graphs. For this reason we define the domination multisubdivision number...
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Synchronous black hole search in directed graphs
PublikacjaThe paper considers a team of robots which has to explore a graph G, where some nodes can be harmful. Robots are initially located at the so-called home base node. The dangerous nodes are the so-called black hole nodes, and once a robot enters in one of them, it is destroyed. The goal is to find a strategy in order to explore G in such a way that minimum number of robots is wasted. The exploration ends if there is at least one...
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Total Domination Versus Domination in Cubic Graphs
PublikacjaA dominating set in a graph G is a set S of vertices of G such that every vertex not in S has a neighbor in S. Further, if every vertex of G has a neighbor in S, then S is a total dominating set of G. The domination number,γ(G), and total domination number, γ_t(G), are the minimum cardinalities of a dominating set and total dominating set, respectively, in G. The upper domination number, \Gamma(G), and the upper total domination...
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On bipartization of cubic graphs by removal of an independent set
PublikacjaWe study a new problem for cubic graphs: bipartization of a cubic graph Q by deleting sufficiently large independent set.
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Minimum order of graphs with given coloring parameters
PublikacjaA complete k-coloring of a graph G=(V,E) is an assignment F: V -> {1,...,k} of colors to the vertices such that no two vertices of the same color are adjacent, and the union of any two color classes contains at least one edge. Three extensively investigated graph invariants related to complete colorings are the minimum and maximum number of colors in a complete coloring (chromatic number χ(G) and achromatic number ψ(G), respectively),...
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Progress on Roman and Weakly Connected Roman Graphs
PublikacjaA graph G for which γR(G)=2γ(G) is the Roman graph, and if γwcR(G)=2γwc(G), then G is the weakly connected Roman graph. In this paper, we show that the decision problem of whether a bipartite graph is Roman is a co-NP-hard problem. Next, we prove similar results for weakly connected Roman graphs. We also study Roman trees improving the result of M.A. Henning’s A characterization of Roman trees, Discuss. Math. Graph Theory 22 (2002)....
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Graphs hard-to-process for greedy algorithm MIN
PublikacjaWe compare results of selected algorithms that approximate the independence number in terms of the quality of constructed solutions. Furthermore, we establish smallest hard- to-process graphs for the greedy algorithm MIN.
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Paired domination subdivision and multisubdivision numbers of graphs
PublikacjaThe paired domination subdivision number sdpr(G) of a graph G is the minimum number of edges that must be subdivided (where an edge can be subdivided at most once) in order to increase the paired domination number of G. We prove that the decision problem of the paired domination subdivision number is NP-complete even for bipartite graphs. For this reason we define the paired domination muttisubdivision number of a nonempty graph...
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Domination-Related Parameters in Rooted Product Graphs
PublikacjaAbstract A set S of vertices of a graph G is a dominating set in G if every vertex outside of S is adjacent to at least one vertex belonging to S. A domination parameter of G is related to those sets of vertices of a graph satisfying some domination property together with other conditions on the vertices of G. Here, we investigate several domination-related parameters in rooted product graphs.
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Cholesky factorization of matrices in parallel and ranking of graphs.
PublikacjaUporządkowane kolorowanie znajduje zastosowanie przy równoległej faktoryzacji macierzy metodą Cholesky'ego. Praca zawiera opis tego zastosowania. Podano także algorytmy optymalnego uporządkowanego kolorowania krawędzi pewnych klas grafów: grafów pełnych dwudzielnych oraz powstałych z pełnych dwudzielnych przez usunięcie O(log n) krawędzi.
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Sum coloring of bipartite graphs with bounded degree.
PublikacjaArtykuł poświęcony jest złożoności obliczeniowej zagadnienia sumacyjnego kolorowania grafów dwudzielnych o ograniczonym stopniu. Zawiera dowód tego, że sumacyjne kolorowanie grafów dwudzielnych stopnia mniejszego równego 5 jest NP-zupełne oraz opis wielomianowego algorytmu, który optymalnie sumacyjnie koloruje grafy dwudzielne podkubiczne.
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Edge and Pair Queries-Random Graphs and Complexity
PublikacjaWe investigate two types of query games played on a graph, pair queries and edge queries. We concentrate on investigating the two associated graph parameters for binomial random graphs, and showing that determining any of the two parameters is NP-hard for bounded degree graphs.
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Graphs with convex domination number close to their order
PublikacjaW pracy opisane są grafy z liczbą dominowania wypukłego bliską ilości ich wierzchołków.
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Self-stabilizing algorithm for edge-coloring of graphs
PublikacjaReferat ten poświęcony jest kolorowaniu grafów w modelu rozproszonym.Podano samostabilizujący się algorytm kolorowania krawędzi grafu wraz z dowodem poprawności oraz oszacowaniem jego czasu działania.
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A collection of directed graphs for the minimum cycle mean weight computation
Dane BadawczeThis dataset contains definitions of the 16 directed graphs with weighted edges that were described in the following paper: Paweł Pilarczyk, A space-efficient algorithm for computing the minimum cycle mean in a directed graph, Journal of Mathematics and Computer Science, 20 (2020), no. 4, 349--355, DOI: 10.22436/jmcs.020.04.08, URL: http://dx.doi.org/10.22436/jmcs.020.04.08 These...
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Trace Metal Contamination of Bottom Sediments: A Review of Assessment Measures and Geochemical Background Determination Methods
PublikacjaThis paper provides an overview of different methods of assessing the trace metal (TM) contamination status of sediments affected by anthropogenic interference. The geochemical background determination methods are also described. A total of 25 papers covering rivers, lakes, and retention tanks sediments in areas subjected to anthropogenic pressure from the last three years (2019, 2020, and 2021) were analysed to support our examination...
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Zanieczyszczenie wód gruntowych odciekami ze składowiska odpadów. Groundwater contamination by the leakeage from the landfill.
PublikacjaJednym z poważnych zagrożeń środowiska są stare składowiska odpadów z uwagi na ich nieodpowiednią lokalizację bądź zabezpieczenia nie spełniające obecnie obowiązujących wymagań i unormowań prawnych. Sytuację taką zaobserwowano na analizowanym obszarze badawczym. Zalegające na tym terenie odpady nie są izolowane od warstwy wodonośnej, w związku z czym wody opadowe filtrujące przez warstwę odpadów powodują zanieczyszczenie wód gruntowych...
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Contamination of runoff waters from roads with high traffic intensity in the urban region of Gdańsk, Poland
PublikacjaW ramach pracy prowadzone były badania zanieczyszczeń w próbkach wód spływnych z arterii komunikacyjnych. Próbki pobierano z sześciu stałych punktów zlokalizowanych wzdłuż szlaku komunikacyjnego prowadzącego z Redy do Gdańska (z miejsc o dużym natężeniu ruchu pojazdów) oraz z ulicy M. Buczka w Redzie (o mniejszym natężeniu ruchu). Próbki pobierane były przez okres dwóch miesięcy (okres deszczów jesiennych: 24.10 - 18.12.2000) oraz...
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Identification of the Contamination Source Location in the Drinking Water Distribution System Based on the Neural Network Classifier
PublikacjaThe contamination ingression to the Water Distribution System (WDS) may have a major impact on the drinking water consumers health. In the case of the WDS contamination the data from the water quality sensors may be efficiently used for the appropriate disaster management. In this paper the methodology based on the Learning Vector Quantization (LVQ) neural network classifier for the identification of the contamination source location...
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ARCHIVES OF ENVIRONMENTAL CONTAMINATION AND TOXICOLOGY
Czasopisma -
CAUSALITY IN MODELS OF THERMAL PROCESSES IN SHIP ENGINE ROOMS WITH THE USE OF BOND GRAPH (BG) METHOD
PublikacjaWith a single approach to modeling elements of different physical nature, the method of Bond Graph (BG) is particularly well suited for modeling energy systems consisting of mechanical, thermal, electrical and hydraulic elements that operate in the power system engine room. The paper refers to the earlier presented new concept of thermal process modeling using the BG method. The authors own suggestions for determining causality...
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Packing [1,Delta]-factors in graphs of small degree
PublikacjaRozważano 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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The maximum edge-disjoint paths problem in complete graphs
PublikacjaRozważono 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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A note on compact and compact circular edge-colorings of graphs
PublikacjaW pracy rozważamy dwa warianty kolorowania krawędzi grafów prostych i ważonych, mianowicie kolorowania zwarte oraz zwarte cyrkularne. Rozważamy relacje pomiędzy nimi. Dowodzimy, że każdy zewnętrznie planarny graf dwudzielny posiada zwarte pokolorowanie krawędziowe oraz, że problem ten dla grafów ogólnych jest NP-zupełny. Podajemy również wielomianowy 1.5-przybliżony algorytm oraz pseudowielomianowy dokładny algorytm zwartego cyrkularnego...
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The complexity of the T-coloring problem for graphs with small degree
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Some results concerning the complexity of restricted colorings of graphs
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Edge-chromatic sum of trees and bounded cyclicity graphs
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Modeling and analysis of the effectiveness of the guard systemswith dynamic graphs
PublikacjaIn 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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Optimal backbone coloring of split graphs with matching backbones
PublikacjaFor a graph G with a given subgraph H, the backbone coloring is defined as the mapping c: V(G) -> N+ such that |c(u)-c(v)| >= 2 for each edge uv \in E(H) and |c(u)-c(v)| >= 1 for each edge uv \in E(G). The backbone chromatic number BBC(G;H) is the smallest integer k such that there exists a backbone coloring with max c(V(G)) = k. In this paper, we present the algorithm for the backbone coloring of split graphs with matching backbone.
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Rendezvous of Distance-Aware Mobile Agents in Unknown Graphs
PublikacjaWe 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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Cops, a fast robber and defensive domination on interval graphs
PublikacjaThe 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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Block graphs with large paired domination multisubdivision number
PublikacjaThe 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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An approximation algorithm for maximum P3-packing in subcubic graphs
PublikacjaW pracy podano algorytm 4/3-przyliżony dla trudnego obliczeniowo problemu umieszczania wierzchołkowo rozłącznych dwukrawędziowych ścieżek w grafach o stopniu maksymalnym 3 i stopniu minimalnym 2. Poprawiono tym samym wcześniejsze wyniki dla grafów kubicznych (A. Kelmans, D. Mubayi, Journal of Graph Theory 45, 2004).