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EJC
2006
15 years 17 days ago
Parity reversing involutions on plane trees and 2-Motzkin paths
The problem of counting plane trees with n edges and an even or an odd number of leaves has been recently studied by Eu, Liu and Yeh, in connection with an identity on coloring ne...
William Y. C. Chen, Louis W. Shapiro, Laura L. M. ...
100
Voted
JCT
2008
86views more  JCT 2008»
15 years 16 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...
145
Voted
COMBINATORICS
2002
93views more  COMBINATORICS 2002»
15 years 11 days ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
89
Voted
JACM
2002
93views more  JACM 2002»
15 years 6 days ago
Map graphs
We consider a modified notion of planarity, in which two nations of a map are considered adjacent when they share any point of their boundaries (not necessarily an edge, as planar...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
SIAMCOMP
2010
135views more  SIAMCOMP 2010»
14 years 7 months ago
Intractability of Clique-Width Parameterizations
We show that Edge Dominating Set, Hamiltonian Cycle, and Graph Coloring are W[1]-hard parameterized by clique-width. It was an open problem, explicitly mentioned in several papers,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...