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FSTTCS
2000
Springer
14 years 1 months ago
On-Line Edge-Coloring with a Fixed Number of Colors
We investigate a variant of on-line edge-coloring in which there is a fixed number of colors availableandtheaimistocolorasmanyedgesaspossible.Weproveupperandlowerboundsontheperform...
Lene M. Favrholdt, Morten N. Nielsen
COMBINATORICS
2006
132views more  COMBINATORICS 2006»
13 years 10 months ago
On Computing the Distinguishing Numbers of Trees and Forests
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...
Christine T. Cheng
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 10 months ago
A Note on the Number of Hamiltonian Paths in Strong Tournaments
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...
Arthur H. Busch
SIAMDM
2008
50views more  SIAMDM 2008»
13 years 10 months ago
Real Number Channel Assignments for Lattices
We consider the problem of assigning a numerical channel to each transmitter in a large regular array such that multiple levels of interference, which depend on the distance betwe...
Jerrold R. Griggs, Xiaohua Teresa Jin
SIAMDM
2010
170views more  SIAMDM 2010»
13 years 4 months ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox