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» Cycle decompositions of the complete graph
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IWOCA
2009
Springer
160views Algorithms» more  IWOCA 2009»
15 years 4 months ago
Note on Decomposition of Kn, n into (0, j)-prisms
R. H¨aggkvist proved that every 3-regular bipartite graph of order 2n with no component isomorphic to the Heawood graph decomposes the complete bipartite graph K6n,6n. In [2] the ...
Sylwia Cichacz, Dalibor Froncek, Petr Kovár
DM
1998
68views more  DM 1998»
14 years 11 months ago
Alternating cycles and trails in 2-edge-coloured complete multigraphs
We consider edge-coloured multigraphs. A trail in such a multigraph is alternating if its successive edges differ in colour. Let G be a 2-edge-coloured complete graph and let M b...
Jørgen Bang-Jensen, Gregory Gutin
DM
1998
83views more  DM 1998»
14 years 11 months ago
The basis number of the powers of the complete graph
A basis of the cycle space C(G) of a graph G is h-fold if each edge of G occurs in at most h cycles of the basis. The basis number b(G) of G is the least integer h such that C(G) ...
Salar Y. Alsardary, Jerzy Wojciechowski
WG
2010
Springer
14 years 10 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang