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» Obstacle Numbers of Graphs
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DM
2006
86views more  DM 2006»
15 years 4 months ago
Decomposing oriented graphs into transitive tournaments
For an oriented graph G with n vertices, let f(G) denote the minimum number of transitive subtournaments that decompose G. We prove several results on f(G). In particular, if G is...
Raphael Yuster
151
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DM
2006
134views more  DM 2006»
15 years 4 months ago
Simultaneous graph parameters: Factor domination and factor total domination
Let F1, F2, . . . , Fk be graphs with the same vertex set V . A subset S V is a factor dominating set if in every Fi every vertex not in S is adjacent to a vertex in S, and a fac...
Peter Dankelmann, Michael A. Henning, Wayne Goddar...
FUIN
2006
139views more  FUIN 2006»
15 years 4 months ago
Efficient Parallel Query Processing by Graph Ranking
In this paper we deal with the problem of finding an optimal query execution plan in database systems. We improve the analysis of a polynomial-time approximation algorithm due to M...
Dariusz Dereniowski, Marek Kubale
118
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IPL
2008
82views more  IPL 2008»
15 years 4 months ago
On fully orientability of 2-degenerate graphs
Suppose that D is an acyclic orientation of the graph G. An arc of D is dependent if its reversal creates a directed cycle. Let d(D) denote the number of dependent arcs in D. Defi...
Hsin-Hao Lai, Gerard J. Chang, Ko-Wei Lih
124
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COMBINATORICS
2007
88views more  COMBINATORICS 2007»
15 years 4 months ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory