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» On the number of maximal independent sets in a graph
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ALMOB
2006
89views more  ALMOB 2006»
13 years 7 months ago
On the maximal cliques in c-max-tolerance graphs and their application in clustering molecular sequences
Given a set S of n locally aligned sequences, it is a needed prerequisite to partition it into groups of very similar sequences to facilitate subsequent computations, such as the ...
Katharina Anna Lehmann, Michael Kaufmann, Stephan ...
FCS
2009
13 years 5 months ago
Domination and Independence on the Rectangular Torus by Rooks and Bishops
A set S V is a dominating set of a graph G = (V; E) if each vertex in V is either in S or is adjacent to a vertex in S. A vertex is said to dominate itself and all its neighbors. ...
Joe DeMaio, William Faust
CASES
2009
ACM
14 years 1 months ago
Optimal loop parallelization for maximizing iteration-level parallelism
This paper solves the open problem of extracting the maximal number of iterations from a loop that can be executed in parallel on chip multiprocessors. Our algorithm solves it opt...
Duo Liu, Zili Shao, Meng Wang, Minyi Guo, Jingling...
JGT
2010
158views more  JGT 2010»
13 years 5 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran
PKDD
2005
Springer
145views Data Mining» more  PKDD 2005»
14 years 27 days ago
A Correspondence Between Maximal Complete Bipartite Subgraphs and Closed Patterns
For an undirected graph ¢ without self-loop, we prove: (i) that the number of closed patterns in the adjacency matrix of ¢ is even; (ii) that the number of the closed patterns i...
Jinyan Li, Haiquan Li, Donny Soh, Limsoon Wong