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A tolerance-based heuristic approach for the weighted independent set problem
Journal of Combinatorial Optimization. 2015. Vol. 29. No. 2. P. 433-450.
The notion of a tolerance is a helpful tool for designing approximation and exact algorithms for solving combinatorial optimization problems. In this paper we suggest a tolerance-based polynomial heuristic algorithm for the weighted independent set problem. Several computational experiments show that our heuristics works very well on graphs of a small density
Cham : Springer, 2021
This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021.
The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. ...
Added: July 8, 2021
Malyshev D., Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2012 Vol. 6 No. 1 P. 97-99
Under study is the complexity status of the independent set problem in a class of connected graphs that are defined by functional constraints on the number of edges depending on the number of vertices. For every natural number C, this problem is shown to be polynomially solvable in the class of graphs, On the other ...
Added: December 7, 2012
Malyshev D., Дискретный анализ и исследование операций 2012 Т. 19 № 3 С. 58-64
An algorithm is implemented in the article for finding the independence number of a n-vertex graph from the class Free({P5,C5, Kp}) in time O(np+O(1)). ...
Added: June 6, 2012
Мешалкин В. П., Zakhodiakin G., Ходченко С. М., М. : РХТУ им. Д.И. Менделеева, 2013
Изложены разделы теории графов и комбинаторного анализа, сущность и применение методов комбинаторной оптимизации на основе одного из широко распространенных методов комбинаторного поиска оптимальных решений – метода ветвей и границ для решения прикладных задач в химической технологии, ресурсоэнергоэффективной инженерно-технической организации сложных химико-технологических систем и логистике ресурсоэнергосбережения. Указанные задачи относятся к классу комбинаторных задач неполиномиальной сложности (NP-задач ...
Added: February 27, 2016
San Segundo P., Nikolaev A., Batsyn M., Computers & Operations Research 2015 Vol. 64 P. 293-303
Many efficient exact branch and bound maximum clique solvers use approximate coloring to compute an upper bound on the clique number for every subproblem. This technique reasonably promises tight bounds on average, but never tighter than the chromatic number of the graph.
Li and Quan, 2010, AAAI Conference, p. 128–133 describe a way to compute even ...
Added: August 24, 2015
Gribanov D., Malyshev D., Discrete Applied Mathematics 2017 Vol. 227 P. 13-20
We consider boolean linear programming formulations of the independent set, the vertex and the edge dominating set problems and prove their polynomial-time solvability for classes of graphs with (augmented) constraint matrices having bounded minors in the absolute value ...
Added: April 23, 2017
NY : Springer, 2013
This volume contains two types of papers—a selection of contributions from the “Second International Conference in Network Analysis” held in Nizhny Novgorod on May 7–9, 2012, and papers submitted to an "open call for papers" reflecting the activities of LATNA at the Higher School for Economics.
This volume contains many new results in modeling and powerful ...
Added: September 27, 2013
Malyshev D., Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2013 Vol. 7 No. 3 P. 412-419
The notion is introduced of an expanding operator for the independent set problem. This notion is a useful tool for the constructive formation of new cases with the efficient solvability of the problem in the family of hereditary classes of graphs and is applied to hereditary parts of the set Free({P_5,C_5}). It is proved that ...
Added: October 3, 2013
Malyshev D., Sirotkin D., Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2017 Vol. 11 No. 3 P. 400-414
The independent set problem for a given simple graph consists in computing the size of a largest subset of its pairwise nonadjacent vertices. In this article, we prove the polynomial solvability of the problem for the subcubic planar graphs with no induced tree obtained by identifying the ends of three paths of lengths 3, 3, ...
Added: August 10, 2017
Gribanov D., Malyshev D., Журнал Средневолжского математического общества 2016 Т. 18 № 3 С. 19-31
Мы рассматриваем естественные постановки задач о независимом множестве, о вершинном и о реберном доминирующем множестве как задач целочисленного линейного программирования и доказываем полиномиальную разрешимость этих задач для классов графов, имеющих ограниченные по абсолютному значению миноры (расширенных) матриц ограничений. ...
Added: October 20, 2016
Switzerland : Springer, 2014
This volume is important for scientist working on the forefront of optimization and machine learning. It presents methods, algorithms and theories tahat are used in a vast spectrum of fields. ...
Added: December 15, 2014
Malyshev D., Journal of Applied and Industrial Mathematics (перевод журналов "Сибирский журнал индустриальной математики" и "Дискретный анализ и исследование операций") 2013 Vol. 7 No. 4 P. 537-548
We prove the polynomial solvability of the independent set problem for some family of
classes of the planar subcubic graphs. ...
Added: January 21, 2014
Malyshev D., Pardalos P. M., Optimization Letters 2016 Vol. 10 No. 8 P. 1593-1612
The task of complete complexity dichotomy is to clearly distinguish between easy and hard cases of a given problem on a family of subproblems. We consider this task for some optimization problems restricted to certain classes of graphs closed under deletion of vertices. A concept in the solution process is based on revealing the so-called ...
Added: December 18, 2015
М. : Издательский центр «Российский государственный гуманитарный университет», 2019
Сборник включает 27 докладов международной конференции по компьютерной лингвистике и интеллектуальным технологиям «Диалог 2019», не вошедшие в ежегодник «Компьютерная лингвистика и интеллектуальные технологии», но рекомендованные Программным Комитетом к представлению на конференции. Для специалистов в области теоретической и прикладной лингвистики и интеллектуальных технологий. ...
Added: December 10, 2019
Karpov V. E., Karpova I. P., Procedia Engineering 2015 Vol. 100 P. 1459-1468
Work solutions are proposed for problems of leader definition and role distribution in homogeneous groups of robots. It is shown that transition from a swarm to a collective of robots with hierarchical organization is possible using exclusively local interaction. The local revoting algorithm is central to the procedure for choice of leader while redistribution of roles can ...
Added: March 14, 2015
Chernyshev S. V., Cherepanov E. A., Pankratiev E. V. et al., Journal of Mathematical Sciences 2005 Vol. 128 No. 6 P. 3487-3495
Added: January 27, 2014
Chuprikov P., Nikolenko S. I., Davydow A. et al., IEEE Transactions on Networking 2018 Vol. 26 No. 1 P. 342-355
Modern network elements are increasingly required to deal with heterogeneous traffic. Recent works consider processing policies for buffers that hold packets with different processing requirements (number of processing cycles needed before a packet can be transmitted out) but uniform value, aiming to maximize the throughput, i.e., the number of transmitted packets. Other developments deal with ...
Added: March 14, 2018
Sotnikova S., Динамика сложных систем 2012 № 3 С. 84-87
In article is described designed programme complex of the physical processes modeling, which also allows to conduct the identification printed node parameters (the physical model). On printed node designed the on-board secondary power supply source is realized. For it are designed relationship interfaces of controlling program with the known program of modeling and optimization. ...
Added: December 5, 2014
Skoptsov K. A., Sheshenin S., Galatenko V. V. et al., International Journal of Applied Mechanics 2016 Vol. 8 No. 2 P. 1650016-01-1650016-18
We present a method for evaluating elastic properties of a composite material produced by molding a resin filled with short elastic fibers. A flow of the filled resin is simulated numerically using a mesh-free method. After that, assuming that spatial distribution and orientation of fibers are not significantly changed during polymerization, effective elastic moduli of ...
Added: May 22, 2016
Malyshev D., Discrete Mathematics 2015 Vol. 338 No. 11 P. 1860-1865
We completely determine the complexity status of the 3-colorability problem for hereditary graph classes defined by two forbidden induced subgraphs with at most five vertices. ...
Added: April 7, 2014
Каз. : Издательство «Фэн» Академии наук Республики Татарстан, 2013
Материалы и доклады Шестой Всероссийской научно-практической конференции по имитацонному моделированию и его применению в науке и промышленности. ...
Added: December 14, 2013
Borchmann D., Hanika T., Obiedkov S., Discrete Applied Mathematics 2020 Vol. 273 P. 30-42
We propose an algorithm for learning the Horn envelope of an arbitrary domain using an expert, or an oracle, capable of answering certain types of queries about this domain. Attribute exploration from formal concept analysis is a procedure that solves this problem, but the number of queries it may ask is exponential in the size ...
Added: October 29, 2019
Goncharov R., Сапанов П. М., Яшунский А. Д., Социология власти 2013 № 3 С. 57-72
В статье представлена технология, позволяющая собирать в полевых исследованиях пространственно локализованные данные об объектах городской среды. Технология основана на автоматической привязке фотографий к пространственным координатам. Приведен план полевых и камеральных мероприятий, предложены варианты ГИС-обработки собираемых таким образом данных. В качестве примера приведены данные об использовании белорусского языка в общественном пространстве городов Белоруссии. ...
Added: April 12, 2015
Springer, 2012
Added: January 29, 2013