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CORR
2011
Springer
143views Education» more  CORR 2011»
12 years 11 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»
13 years 8 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
CPC
2004
92views more  CPC 2004»
13 years 7 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»
13 years 7 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...
COCOON
2008
Springer
13 years 9 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...