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DM
2010
102views more  DM 2010»
13 years 10 months ago
Covering graphs with matchings of fixed size
Let m be a positive integer and let G be a graph. We consider the question: can the edge set E(G) of G be expressed as the union of a set M of matchings of G each of which has siz...
David Cariolaro, Hung-Lin Fu
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 10 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...
COCOON
1999
Springer
14 years 2 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»
13 years 10 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
DAM
2008
69views more  DAM 2008»
13 years 10 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