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ENDM
2002
84views more  ENDM 2002»
15 years 4 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
15 years 11 months 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
COCOON
2003
Springer
15 years 10 months ago
Fault-Hamiltonicity of Product Graph of Path and Cycle
We investigate hamiltonian properties of Pm × Cn, m ≥ 2 and even n ≥ 4, which is bipartite, in the presence of faulty vertices and/or edges. We show that Pm×Cn with n even is...
Jung-Heum Park, Hee-Chul Kim
FSTTCS
1994
Springer
15 years 8 months ago
On the Interactive Complexity of Graph Reliability
We give an interactive protocol for s-t RELIABILITY, the well known reliability problem on graphs. Our protocol shows that if IP(f(n)) denotes the class of languages whose interac...
Jean Marc Couveignes, Juan Francisco Diaz-Frias, M...
CORR
2010
Springer
93views Education» more  CORR 2010»
15 years 5 months ago
Injective colorings of graphs with low average degree
Let mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if 4 and mad(G) < 14 5 , then i(G...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu