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» A Note on Cycle Lengths in Graphs
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DM
1999
109views more  DM 1999»
13 years 7 months ago
Hamiltonian powers in threshold and arborescent comparability graphs
We examine powers of Hamiltonian paths and cycles as well as Hamiltonian (power) completion problems in several highly structured graph classes. For threshold graphs we give effic...
Sam Donnelly, Garth Isaak
GC
2008
Springer
13 years 7 months ago
A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Gioan showed that the number of cycle reversing classes of totally cyclic orientations of a given graph can be calculated as an evaluation of the corresponding Tutte polynomial. We...
Beifang Chen, Arthur L. B. Yang, Terence Y. J. Zha...
DAM
1998
75views more  DAM 1998»
13 years 7 months ago
Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
Jørgen Bang-Jensen, Gregory Gutin, Anders Y...
JCT
2011
86views more  JCT 2011»
13 years 1 months ago
Circumference of 3-connected claw-free graphs and large Eulerian subgraphs of 3-edge-connected graphs
The circumference of a graph is the length of its longest cycles. Results of Jackson, and Jackson and Wormald, imply that the circumference of a 3-connected cubic n-vertex graph i...
Mark Bilinski, Bill Jackson, Jie Ma, Xingxing Yu
GD
2004
Springer
14 years 28 days ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos