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CORR
2011
Springer
143views Education» more  CORR 2011»
14 years 7 months ago
Polynomial kernels for Proper Interval Completion and related problems
Given a graph G = (V, E) and a positive integer k, the Proper Interval Completion problem asks whether there exists a set F of at most k pairs of (V × V ) \ E such that the graph...
Stéphane Bessy, Anthony Perez
DM
2010
117views more  DM 2010»
15 years 4 months ago
The distinguishing chromatic number of Cartesian products of two complete graphs
A labeling of a graph G is distinguishing if it is only preserved by the trivial automorphism of G. The distinguishing chromatic number of G is the smallest integer k such that G ...
Janja Jerebic, Sandi Klavzar
125
Voted
CPC
2004
92views more  CPC 2004»
15 years 3 months ago
Large Topological Cliques in Graphs Without a 4-Cycle
Mader asked whether every C4-free graph G contains a subdivision of a complete graph whose order is at least linear in the average degree of G. We show that there is a subdivision...
Daniela Kühn, Deryk Osthus
IPL
2006
83views more  IPL 2006»
15 years 3 months ago
The Pair Completion algorithm for the Homogeneous Set Sandwich Problem
A homogeneous set is a non-trivial module of a graph, i.e. a nonempty, non-unitary, proper vertex subset such that all its elements present the same outer neighborhood. Given two ...
Claudson F. Bornstein, Celina M. Herrera de Figuei...
120
Voted
COCOON
2008
Springer
15 years 5 months ago
Probe Ptolemaic Graphs
Given a class of graphs, G, a graph G is a probe graph of G if its vertices can be partitioned into two sets, P (the probes) and N (the nonprobes), where N is an independent set, s...
David B. Chandler, Maw-Shang Chang, Ton Kloks, Van...