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ENDM
2007
73views more  ENDM 2007»
13 years 7 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»
13 years 7 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»
13 years 7 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»
13 years 7 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»
13 years 7 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