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» On the Grundy Number of a Graph
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FUIN
2006
139views more  FUIN 2006»
15 years 6 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
IPL
2008
82views more  IPL 2008»
15 years 6 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
COMBINATORICS
2007
88views more  COMBINATORICS 2007»
15 years 6 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
ENDM
2002
84views more  ENDM 2002»
15 years 6 months ago
Addressing the Petersen graph
Motivated by a problem on message routing in communication networks, Graham and Pollak proposed a scheme for addressing the vertices of a graph G by N-tuples of three symbols in s...
Randall J. Elzinga, David A. Gregory, Kevin N. Van...
OTM
2007
Springer
16 years 18 days ago
Self-healing in Binomial Graph Networks
The number of processors embedded in high performance computing platforms is growing daily to solve larger and more complex problems. However, as the number of components increases...
Thara Angskun, George Bosilca, Jack Dongarra