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» Obstacle Numbers of Graphs
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SIAMDM
2008
79views more  SIAMDM 2008»
15 years 4 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...
168
Voted
COCOON
1999
Springer
15 years 9 months ago
An External Memory Data Structure for Shortest Path Queries
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
David A. Hutchinson, Anil Maheshwari, Norbert Zeh
DAM
2008
145views more  DAM 2008»
15 years 5 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
137
Voted
DAM
2008
69views more  DAM 2008»
15 years 5 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 5 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