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» The Distinguishing Chromatic Number
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DM
2010
117views more  DM 2010»
13 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
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
13 years 4 months ago
The Distinguishing Chromatic Number
Karen L. Collins, Ann N. Trenk
SIAMDM
2010
133views more  SIAMDM 2010»
13 years 2 months ago
Distinguishing Chromatic Number of Cartesian Products of Graphs
Jeong Ok Choi, Stephen G. Hartke, Hemanshu Kaul
JCT
2008
86views more  JCT 2008»
13 years 4 months ago
On distinguishing trees by their chromatic symmetric functions
Let T be an unrooted tree. The chromatic symmetric function XT , introduced by Stanley, is a sum of monomial symmetric functions corresponding to proper colorings of T . The subtre...
Jeremy L. Martin, Matthew Morin, Jennifer D. Wagne...
COMBINATORICS
2007
90views more  COMBINATORICS 2007»
13 years 4 months ago
Distinguishability of Locally Finite Trees
The distinguishing number ∆(X) of a graph X is the least positive integer n for which there exists a function f : V (X) → {0, 1, 2, · · · , n−1} such that no nonidentity ...
Mark E. Watkins, Xiangqian Zhou