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» Edge-dominating cycles in graphs
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TPDS
2010
109views more  TPDS 2010»
14 years 8 months ago
Minimal Sets of Turns for Breaking Cycles in Graphs Modeling Networks
Abstract—We propose an algorithm that provides for deadlockfree and livelock-free routing, in particular in wormhole routed networks. The proposed algorithm requires nearly minim...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa
JAIR
1998
92views more  JAIR 1998»
14 years 10 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson
121
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COMGEO
2012
ACM
13 years 6 months ago
Algorithms for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n embedded in a surface of genus g, orientable or not. We describe improved algorithms to compute a shortest non-contractible and a shor...
Sergio Cabello, Éric Colin de Verdiè...
67
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ENDM
2002
113views more  ENDM 2002»
14 years 10 months ago
On robust cycle bases
Two types of robust cycle bases are defined via recursively nice arrangements; complete and bipartite complete graphs are shown to have such bases. It is shown that a diagram in a...
Paul C. Kainen
80
Voted
SIAMDM
2008
86views more  SIAMDM 2008»
14 years 9 months ago
Hamilton Cycles in Planar Locally Finite Graphs
A classical theorem by Tutte assures the existence of a Hamilton cycle in every finite 4-connected planar graph. Extensions of this result to infinite graphs require a suitable co...
Henning Bruhn, Xingxing Yu