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» Classes of cycle bases
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DAM
2011
14 years 7 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
84
Voted
SIAMCOMP
2010
93views more  SIAMCOMP 2010»
14 years 7 months ago
Tightening Nonsimple Paths and Cycles on Surfaces
We describe algorithms to compute the shortest path homotopic to a given path, or the shortest cycle freely homotopic to a given cycle, on an orientable combinatorial surface. Unli...
Éric Colin de Verdière, Jeff Erickso...
DISOPT
2008
113views more  DISOPT 2008»
15 years 15 days ago
The inverse 1-median problem on a cycle
Abstract. Let the graph G = (V, E) be a cycle with n + 1 vertices, nonnegative vertex weights and positive edge lengths. The inverse 1-median problem on a cycle consists in changin...
Rainer E. Burkard, Carmen Pleschiutschnig, Jianzho...
96
Voted
PDCAT
2007
Springer
15 years 6 months ago
An Algorithm for Constructing Hamiltonian Cycle in Metacube Networks
The high-performance supercomputers will consist of several millions of CPUs in the next decade. The interconnection networks (INs) in such supercomputers play an important role. ...
Yamin Li, Shietung Peng, Wanming Chu
IJBC
2006
91views more  IJBC 2006»
15 years 13 days ago
Limit Cycles for Generalized Abel Equations
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a class of one-dimensional non-autonomous differential equations: those with the r...
Armengol Gasull, Antoni Guillamon