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» The Distinguishing Chromatic Number
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104
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DM
2010
117views more  DM 2010»
15 years 23 days 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
59
Voted
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
15 years 22 days ago
The Distinguishing Chromatic Number
Karen L. Collins, Ann N. Trenk
82
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SIAMDM
2010
133views more  SIAMDM 2010»
14 years 11 months ago
Distinguishing Chromatic Number of Cartesian Products of Graphs
Jeong Ok Choi, Stephen G. Hartke, Hemanshu Kaul
100
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JCT
2008
86views more  JCT 2008»
15 years 20 days 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...
74
Voted
COMBINATORICS
2007
90views more  COMBINATORICS 2007»
15 years 20 days 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