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» The Alcuin Number of a Graph
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FSTTCS
1994
Springer
15 years 10 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 6 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
DM
2010
78views more  DM 2010»
15 years 6 months ago
Injective colorings of sparse graphs
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 Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
182
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CIDM
2009
IEEE
15 years 10 months ago
Empirical comparison of graph classification algorithms
The graph classification problem is learning to classify separate, individual graphs in a graph database into two or more categories. A number of algorithms have been introduced fo...
Nikhil S. Ketkar, Lawrence B. Holder, Diane J. Coo...
ALGORITHMICA
2008
111views more  ALGORITHMICA 2008»
15 years 6 months ago
Fixed-Parameter Complexity of Minimum Profile Problems
The profile of a graph is an integer-valued parameter defined via vertex orderings; it is known that the profile of a graph equals the smallest number of edges of an interval supe...
Gregory Gutin, Stefan Szeider, Anders Yeo