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SIROCCO
2007
13 years 9 months ago
Why Robots Need Maps
Abstract. A large group of autonomous, mobile entities e.g. robots initially placed at some arbitrary node of the graph has to jointly visit all nodes (not necessarily all edges) a...
Miroslaw Dynia, Jakub Lopuszanski, Christian Schin...
COMBINATORICA
2010
13 years 2 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
ALGORITHMICA
2000
85views more  ALGORITHMICA 2000»
13 years 7 months ago
An Algorithm for Enumerating All Spanning Trees of a Directed Graph
We present an O(NV +V 3) time algorithm for enumerating all spanning trees of a directed graph. This improves the previous best known bound of O(NE + V + E) [1] when V 2 = o(N), wh...
Sanjiv Kapoor, H. Ramesh
JCT
2007
85views more  JCT 2007»
13 years 7 months ago
Separating systems and oriented graphs of diameter two
We prove results on the size of weakly and strongly separating set systems and matrices, and on cross-intersecting systems. As a consequence, we improve on a result of Katona and ...
Béla Bollobás, Alex D. Scott
ISBRA
2009
Springer
14 years 2 months ago
Untangling Tanglegrams: Comparing Trees by Their Drawings
A tanglegram is a pair of trees on the same set of leaves with matching leaves in the two trees joined by an edge. Tanglegrams are widely used in biology – to compare evolutiona...
Balaji Venkatachalam, Jim Apple, Katherine St. Joh...