Results 61 to 70 of about 104 (103)
A simple algorithm for constructing Szemerédi's Regularity Partition
We give a simple constructive version of Szemer'edi's Regularity Lemma, based on the computation of singular values of matrices. Mathematical Reviews Subject Numbers: 05C85, 68R10.
Alan Frieze, Ravi Kannan
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Dominating Sets Whose Closed Stars Form Spanning Trees
For a subset W of vertices of an undirected graph G, let S(W ) be the subgraph consisting of W , all edges incident to at least one vertex in W , and all vertices adjacent to at least one vertex in W .
Jerrold W. Grossman
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Optimizing Bull-Free Perfect Graphs
. A bull is a graph obtained by adding a pendant vertex at two vertices of a triangle. Here we present polynomial-time combinatorial algorithms for the optimal weighted coloring and weighted clique problems in bull-free perfect graphs. The algorithms are
Celina M. H. De Figueiredo +1 more
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We study formal path expressions for two edge-labeled two-terminal directed acyclic graph families: directed triangulated grid graphs (TGGs) and directed king graphs.
Vadim E. Levit, Mark Korenblit
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Linear Algorithms for Partitioning Embedded Graphs of Bounded Genus
This paper develops new techniques for constructing separators for graphs embedded on surfaces of bounded genus. For any arbitrarily small positive " we show that any n-vertex graph G of genus g can be divided in O(n + g) time into components whose ...
L. Aleksandrov, H. Djidjev
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Local Conditions for Edge-Coloring
In this note, we investigate three versions of the overfull property for graphs and their relation to the edge-coloring problem. Each of these properties implies that the graph cannot be edge-colored with \Delta colors, where \Delta is the maximum degree.
Celina M. H. De Figueiredo +2 more
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On the quality of spectral separators
. Computing graph separators is an important step in many graph algorithms. A popular technique for finding separators involves spectral methods. However, there has not been much prior analysis of the quality of the separators produced by this technique;
Gary, L. Miller, Stephen Guattery
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Finding All Maximal Cliques of a Family of Induced Subgraphs
Many real world problems can be mapped onto graphs and solved with well-established efficient algorithms studied in graph theory. One such problem is the following: given a set of objects and an irreflexive and symmetric relation between these objects ...
Daniel Baum
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Novel procedures for graph edge-colouring
Orientador: Dr. Renato CarmoCoorientador: Dr. André Luiz Pires GuedesTese (doutorado) - Universidade Federal do Paraná, Setor de Ciências Exatas, Programa de Pós-Graduação em Informática.
Zatesko, Leandro Miranda, 1988-
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The Page Number Problem for Partially Ordered Sets
Umieszczenie grafu w książce jest definiowane przez kolejność jego wierzchołków na grzbiecie książki i przyporządkowanie jego krawędzi stronom książki tak, aby na żadnej stronie krawędzie nie przecinały się. Umieszczenie zbioru częściowo uporządkowanego (
Kwiatkowska, Anna Beata
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