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» The chromatic covering number of a graph
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CPC
2007
76views more  CPC 2007»
13 years 8 months ago
Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
The strong isometric dimension of a graph G is the least number k such that G isometrically embeds into the strong product of k paths. Using Sperner’s Theorem, the strong isomet...
Dalibor Froncek, Janja Jerebic, Sandi Klavzar, Pet...
EPIA
2009
Springer
14 years 3 months ago
An Algorithm to Discover the k-Clique Cover in Networks
Abstract. In social network analysis, a k-clique is a relaxed clique, i.e., a kclique is a quasi-complete sub-graph. A k-clique in a graph is a sub-graph where the distance between...
Luís Cavique, Armando B. Mendes, Jorge M. A...
CORR
2011
Springer
184views Education» more  CORR 2011»
13 years 3 months ago
Acyclic and Star Colorings of Cographs
An acyclic coloring of a graph is a proper vertex coloring such that the union of any two color classes induces a disjoint collection of trees. The more restricted notion of star ...
Andrew Lyons
DM
2010
124views more  DM 2010»
13 years 8 months ago
Asymptotic enumeration of 2-covers and line graphs
A 2-cover is a multiset of subsets of [n] := {1, 2, . . . , n} such that each element of [n] lies in exactly two of the subsets. A 2-cover is called proper if all of the subsets o...
Peter J. Cameron, Thomas Prellberg, Dudley Stark
CIAC
2010
Springer
262views Algorithms» more  CIAC 2010»
13 years 12 months ago
Graph unique-maximum and conflict-free colorings
We investigate the relationship between two kinds of vertex colorings of graphs: uniquemaximum colorings and conflict-free colorings. In a unique-maximum coloring, the colors are ...
Panagiotis Cheilaris and Géza Tóth