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» The vertex-cover polynomial of a graph
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SODA
2004
ACM
152views Algorithms» more  SODA 2004»
14 years 11 months ago
Approximation schemes for minimum 2-edge-connected and biconnected subgraphs in planar graphs
Given an undirected graph, finding either a minimum 2-edge-connected spanning subgraph or a minimum 2vertex-connected (biconnected) spanning subgraph is MaxSNP-hard. We show that ...
Artur Czumaj, Michelangelo Grigni, Papa Sissokho, ...
DAM
2008
131views more  DAM 2008»
14 years 10 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
CORR
2007
Springer
84views Education» more  CORR 2007»
14 years 9 months ago
Undirected Graphs of Entanglement Two
Entanglement is a complexity measure of directed graphs that origins in fixed point theory. This measure has shown its use in designing efficient algorithms to verify logical prop...
Walid Belkhir, Luigi Santocanale
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
14 years 9 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
TAMC
2009
Springer
15 years 4 months ago
Linear Kernel for Planar Connected Dominating Set
We provide polynomial time data reduction rules for Connected Dominating Set in planar graphs and analyze these to obtain a linear kernel for the planar Connected Dominating Set pr...
Daniel Lokshtanov, Matthias Mnich, Saket Saurabh