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ENDM
2007
73views more  ENDM 2007»
14 years 12 months ago
Two New Classes of Hamiltonian Graphs: (Extended Abstract)
d Abstract) Esther M. Arkin 1 Applied Mathematics and Statistics Stony Brook University Stony Brook, USA Joseph S. B. Mitchell 2 Applied Mathematics and Statistics Stony Brook Univ...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
ENDM
2007
68views more  ENDM 2007»
14 years 12 months ago
Detecting induced subgraphs
An s-graph is a graph with two kind of edges: subdivisible edges and real edges. A realisation of an s-graph B is any graph obtained by subdividing subdivisible edges of B into pa...
Benjamin Lévêque, David Y. Lin, Fr&ea...
ENDM
2000
121views more  ENDM 2000»
14 years 11 months ago
Finding the chromatic number by means of critical graphs
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
Francine Herrmann, Alain Hertz
ENDM
2002
84views more  ENDM 2002»
14 years 11 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...
ENDM
2007
70views more  ENDM 2007»
14 years 12 months ago
Hamiltonian fault-tolerance of hypercubes
Given a set F of faulty edges or faulty vertices in the hypercube Qn and a pair of vertices u, v, is there a hamiltonian cycle or a hamiltonian path between u and v in Qn −F? We...
Tomás Dvorák, Petr Gregor