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» Short cycle connectivity
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59
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IJBC
2008
61views more  IJBC 2008»
15 years 21 days ago
Continuation of Connecting orbits in 3D-ODES (I): Point-to-Cycle Connections
Eusebius J. Doedel, B. W. Kooi, G. A. K. van Voorn...
103
Voted
ARSCOM
2004
104views more  ARSCOM 2004»
15 years 16 days 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»
15 years 2 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
107
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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
15 years 16 days 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...
92
Voted
JGT
2010
91views more  JGT 2010»
14 years 11 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