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» The Alcuin Number of a Graph
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SIAMDM
2008
79views more  SIAMDM 2008»
15 years 6 months ago
Reconfigurations in Graphs and Grids
Let G be a connected graph, and let V and V two n-element subsets of its vertex set V (G). Imagine that we place a chip at each element of V and we want to move them into the posi...
Gruia Calinescu, Adrian Dumitrescu, János P...
172
Voted
DAM
2008
145views more  DAM 2008»
15 years 6 months ago
Graph coloring in the estimation of sparse derivative matrices: Instances and applications
We describe a graph coloring problem associated with the determination of mathematical derivatives. The coloring instances are obtained as intersection graphs of row partitioned s...
Shahadat Hossain, Trond Steihaug
175
Voted
DAM
2008
69views more  DAM 2008»
15 years 6 months ago
Impact of memory size on graph exploration capability
A mobile agent (robot), modeled as a finite automaton, has to visit all nodes of a regular graph. How does the memory size of the agent (the number of states of the automaton) inf...
Pierre Fraigniaud, David Ilcinkas, Andrzej Pelc
DM
2008
145views more  DM 2008»
15 years 6 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»
15 years 6 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...