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IJBC
2008
61views more  IJBC 2008»
13 years 5 months ago
Continuation of Connecting orbits in 3D-ODES (I): Point-to-Cycle Connections
Eusebius J. Doedel, B. W. Kooi, G. A. K. van Voorn...
ARSCOM
2004
104views more  ARSCOM 2004»
13 years 5 months ago
Complete Minors in Cubic Graphs with few short Cycles and Random Cubic Graphs
We first prove that for any fixed k a cubic graph with few short cycles contains a Kk-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this the...
Klas Markstrom
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 7 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 5 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
JGT
2010
91views more  JGT 2010»
13 years 3 months ago
Choosability of toroidal graphs without short cycles
: Let G be a toroidal graph without cycles of a fixed length k, and l(G) the list chromatic number of G. We establish tight upper bounds Contract grant sponsor: RGC; Contract grant...
Leizhen Cai, Weifan Wang, Xuding Zhu