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FSTTCS
2000
Springer
15 years 3 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»
14 years 12 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»
14 years 12 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
MP
2010
128views more  MP 2010»
14 years 10 months ago
Copositivity cuts for improving SDP bounds on the clique number
Adding cuts based on copositive matrices, we propose to improve Lov´asz’ bound θ on the clique number and its tightening θ introduced by McEliece, Rodemich, Rumsey, and Schri...
Immanuel M. Bomze, Florian Frommlet, Marco Locatel...
SIAMDM
2008
50views more  SIAMDM 2008»
14 years 11 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