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» On 2-factors with k components
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JGT
2007
99views more  JGT 2007»
14 years 9 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...
72
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DAM
2000
121views more  DAM 2000»
14 years 9 months ago
Chordality and 2-factors in Tough Graphs
A graph G is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k. In this note it is proved t...
Douglas Bauer, Gyula Y. Katona, Dieter Kratsch, He...
CIKM
2011
Springer
13 years 9 months ago
S3K: seeking statement-supporting top-K witnesses
Traditional information retrieval techniques based on keyword search help to identify a ranked set of relevant documents, which often contains many documents in the top ranks that...
Steffen Metzger, Shady Elbassuoni, Katja Hose, Ral...
ICALP
2010
Springer
15 years 2 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
FCT
2009
Springer
15 years 1 months ago
Reachability in K3, 3-Free Graphs and K5-Free Graphs Is in Unambiguous Log-Space
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
Thomas Thierauf, Fabian Wagner