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» Packing Cycles in Graphs
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104
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JGT
2010
152views more  JGT 2010»
14 years 7 months ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
98
Voted
IPPS
2007
IEEE
15 years 6 months ago
Minimum number of wavelengths equals load in a DAG without internal cycle
Let P be a family of dipaths. The load of an arc is the number of dipaths containing this arc. Let π(G, P) be the maximum of the load of all the arcs and let w(G, P) be the minim...
Jean-Claude Bermond, Michel Cosnard
106
Voted
SMI
2010
IEEE
120views Image Analysis» more  SMI 2010»
14 years 11 months ago
Single-Cycle Plain-Woven Objects
—It has recently been shown that if we twist an arbitrary subset of edges of a mesh on an orientable surface, the resulting extended graph rotation system (EGRS) can be used to i...
Qing Xing, Ergun Akleman, Jianer Chen, Jonathan L....
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
15 years 2 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta
105
Voted
APPML
2007
57views more  APPML 2007»
15 years 18 days ago
On plane bipartite graphs without fixed edges
-An edge of a graph H with a perfect matching is a fixed edge if it either belongs to none or to all of the perfect matchings of H. It is shown that a connected plane bipartite gra...
Khaled Salem, Sandi Klavzar