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DAM
2011
14 years 7 months ago
Hamiltonian index is NP-complete
In this paper we show that the problem to decide whether the hamiltonian index of a given graph is less or equal to a given constant is ∗ Research supported by grants No. 1M0545...
Zdenek Ryjácek, Gerhard J. Woeginger, Limin...
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JGT
2010
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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
JGT
2010
103views more  JGT 2010»
14 years 11 months ago
Characterizing 3-connected planar graphs and graphic matroids
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
Manoel Lemos, Talmage James Reid, Haidong Wu