Publikacje
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wszystkich: 517
Katalog Publikacji
Rok 2024
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Approximation algorithms for job scheduling with block-type conflict graphs
PublikacjaThe problem of scheduling jobs on parallel machines (identical, uniform, or unrelated), under incompatibility relation modeled as a block graph, under the makespan optimality criterion, is considered in this paper. No two jobs that are in the relation (equivalently in the same block) may be scheduled on the same machine in this model. The presented model stems from a well-established line of research combining scheduling theory...
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Deep Learning-Based, Multiclass Approach to Cancer Classification on Liquid Biopsy Data
PublikacjaThe field of cancer diagnostics has been revolutionized by liquid biopsies, which offer a bridge between laboratory research and clinical settings. These tests are less invasive than traditional biopsies and more convenient than routine imaging methods. Liquid biopsies allow studying of tumor-derived markers in bodily fluids, enabling the development of more precise cancer diagnostic tests for screening, disease monitoring, and...
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Equitable colorings of some variation of corona products of cubic graphs
PublikacjaThe problem of determining the value of equitable chromatic number for multicoronas of cubic graphs is studied. We provide some polynomially solvable cases of cubical multicoronas and give simple linear time algorithms for equitable coloring of such graphs which use almost optimal number of colors in the remaining cases.
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Potyczki algorytmiczne, czyli Alicja i Bogdan w nowych sytuacjach
PublikacjaW kolejnym odcinku serii z Alicją i Bogdanem najpierw ilustrujemy problem dominowania w grafach (kratowych): klasyczny i rzymski. Następnie ilustrujemy znany fakt, że zachłanność nie zawsze się opłaca. Pokażemy mianowicie, że algorytmy zachłanne nie gwarantują uzyskania rozwiązania optymalnego, nawet wówczas gdy problem da się rozwiązać w czasie wielomianowym.
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Quantum strategies for rendezvous and domination tasks on graphs with mobile agents
PublikacjaThis 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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Semi-definite programming and quantum information
PublikacjaThis paper presents a comprehensive exploration of semi-definite programming (SDP) techniques within the context of quantum information. It examines the mathematical foundations of convex optimization, duality, and SDP formulations, providing a solid theoretical framework for addressing optimization challenges in quantum systems. By leveraging these tools, researchers and practitioners can characterize classical and quantum correlations,...
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Teoria grafów wczoraj i dziś
PublikacjaW pracy naszkicowano kamienie milowe teorii grafów poczynając od pierwszego artykułu Eulera na temat mostów w Królewcu z połowy 18. wieku. Następnie opisano słynny problem 4 barw i jego wariacje. Pracę kończy charakterystyka najnowszych wyzwań teorii grafów.
Rok 2023
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Complexity Issues on of Secondary Domination Number
PublikacjaIn this paper we study the computational complexity issues of the problem of secondary domination (known also as (1, 2)-domination) in several graph classes. We also study the computational complexity of the problem of determining whether the domination and secondary domination numbers are equal. In particular, we study the influence of triangles and vertices of degree 1 on these numbers. Also, an optimal algorithm for finding...
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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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Edge coloring of graphs of signed class 1 and 2
PublikacjaRecently, Behr (2020) introduced a notion of the chromatic index of signed graphs and proved that for every signed graph (G, σ) it holds that ∆(G) ≤ χ′(G,σ) ≤ ∆(G) + 1, where ∆(G) is the maximum degree of G and χ′ denotes its chromatic index. In general, the chromatic index of (G, σ) depends on both the underlying graph G and the signature σ. In the paper we study graphs G for which χ′(G, σ) does not depend on σ. To this aim we...
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Entangled rendezvous: a possible application of Bell non-locality for mobile agents on networks
PublikacjaRendezvous is an old problem of assuring that two or more parties, initially separated, not knowing the position of each other, and not allowed to communicate, are striving to meet without pre-agreement on the meeting point. This problem has been extensively studied in classical computer science and has vivid importance to modern and future applications. Quantum non-locality, like Bell inequality violation, has shown that in many...
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Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
PublikacjaOne of the striking properties of quantum mechanics is the occurrence of the Bell-type non-locality. They are a fundamental feature of the theory that allows two parties that share an entangled quantum system to observe correlations stronger than possible in classical physics. In addition to their theoretical significance, non-local correlations have practical applications, such as device-independent randomness generation, providing...
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Generalization of Phylogenetic Matching Metrics with Experimental Tests of Practical Advantages
PublikacjaThe ability to quantify a dissimilarity of different phylogenetic trees is required in various types of phylogenetic studies, for example, such metrics are used to assess the quality of phylogeny construction methods and to define optimization criteria in supertree building algorithms. In this article, starting from the already described concept of matching metrics, we define three new metrics for rooted phylogenetic trees. One...
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Grafo-mania, czyli rzecz o grafach i algorytmach. Gry chromatyczne na grafach.
PublikacjaW minieseju analizujemy grę 2-osobową, polegającą na tym, że Alicja i Bogdan współdziałają by pomalować mapę narysowaną na płaszczyźnie.
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Longitudinal drug synergy assessment using convolutional neural network image-decoding of glioblastoma single-spheroid cultures
PublikacjaAbstract Background In recent years, drug combinations have become increasingly popular to improve therapeutic outcomes in various diseases, including difficult to cure cancers such as the brain cancer glioblastoma. Assessing the interaction between drugs over time is critical for predicting drug combination effectiveness and minimizing the risk of therapy resistance. However, as viability readouts of drug combination experiments...
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Long-term mortality after transcatheter aortic valve implantation for aortic stenosis in immunosuppression-treated patients: a propensity-matched multicentre retrospective registry-based analysis
PublikacjaIntroduction Data regarding patients with a previous medical record of immunosuppression treatment who have undergone transcatheter aortic valve implantation (TAVI) are limited and extremely inconclusive. Available studies are mostly short term observations; thus there is a lack of evidence on efficacy and safety of TAVI in this specific group of patients. Aim To compare the in-hospital and long-term outcomes between patients...
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Platelet RNA Sequencing Data Through the Lens of Machine Learning
PublikacjaLiquid biopsies offer minimally invasive diagnosis and monitoring of cancer disease. This biosource is often analyzed using sequencing, which generates highly complex data that can be used using machine learning tools. Nevertheless, validating the clinical applications of such methods is challenging. It requires: (a) using data from many patients; (b) verifying potential bias concerning sample collection; and (c) adding interpretability...
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Potyczki algorytmiczne, czyli Alicja i Bogdan w nowych sytuacjach
PublikacjaPowracamy tutaj do zagadki sprzed 4 lat pod tym samym tytułem, którą uzupełniamy nowymi komentarzami i nowymi zagadkami na ten temat. Pozwala to nam zilustrować szerzej zasady działania algorytmu zachłannego.
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Potyczki algorytmiczne, czyli Alicja i Bogdan w nowych sytuacjach. 3. Alicja i Bogdan remontują mieszkanie.
PublikacjaPoniższe zagadki nawiązują z jednej strony do problemu kafelkowania płaszczyzny, który jest nierozstrzygalny, z drugiej do problemu rozkroju wstęgi, który jest NP-trudny. Jednakże przypadki szczególne, które tu rozważamy, nie są tak trudne i mogą być rozwiązane za pomocą algorytmów działających w czasie wielomianowym.
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Potyczki algorytmiczne, czyli Alicja i Bogdan w nowych sytuacjach. 4. Alicja i Bogdan w samochodzie.
PublikacjaZilustrowano problem przeszukiwania obiektów w nieznanych przestrzeniach na przykładzie jazdy samochodem.