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DM
2008
145views more  DM 2008»
13 years 10 months ago
Clique coverings and partitions of line graphs
A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique...
Bo-Jr Li, Gerard J. Chang
CPC
2007
64views more  CPC 2007»
13 years 10 months ago
Sampling Regular Graphs and a Peer-to-Peer Network
d Abstract) Colin Cooper∗ , Martin Dyer† and Catherine Greenhill‡ We consider a simple Markov chain for d-regular graphs on n vertices, and show that the mixing time of this...
Colin Cooper, Martin E. Dyer, Catherine S. Greenhi...
ARSCOM
2002
53views more  ARSCOM 2002»
13 years 10 months ago
Embedding Graphs Containing K5-Subdivisions
Given a non-planar graph G with a subdivision of K5 as a subgraph, we can either transform the K5-subdivision into a K3,3-subdivision if it is possible, or else we obtain a partit...
Andrei V. Gagarin, William Kocay
CAV
2006
Springer
121views Hardware» more  CAV 2006»
14 years 2 months ago
Deriving Small Unsatisfiable Cores with Dominators
Abstract. The problem of finding a small unsatisfiable core of an unsatisfiable CNF formula is addressed. The proposed algorithm, Trimmer, iterates over each internal node d in the...
Roman Gershman, Maya Koifman, Ofer Strichman
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
14 years 3 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki