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» Packing Cycles in Graphs
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DM
2008
85views more  DM 2008»
15 years 3 months ago
All graphs with maximum degree three whose complements have 4-cycle decompositions
Let G be the set that contains precisely the graphs on n vertices with maximum degree 3 for which there exists a 4-cycle system of their complement in Kn. In this paper G is compl...
Chin-Mei Fu, Hung-Lin Fu, Christopher A. Rodger, T...
CORR
2007
Springer
113views Education» more  CORR 2007»
15 years 3 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
ICCV
2007
IEEE
16 years 5 months ago
Introducing Curvature into Globally Optimal Image Segmentation: Minimum Ratio Cycles on Product Graphs
While the majority of competitive image segmentation methods are based on energy minimization, only few allow to efficiently determine globally optimal solutions. A graphtheoretic...
Thomas Schoenemann, Daniel Cremers
ENDM
2008
114views more  ENDM 2008»
15 years 3 months ago
Strong oriented chromatic number of planar graphs without cycles of specific lengths
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Mickaël Montassier, Pascal Ochem, Alexandre P...
111
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SIAMDM
2010
89views more  SIAMDM 2010»
14 years 10 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang