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» Distinguishing Cartesian powers of graphs
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DM
1998
83views more  DM 1998»
13 years 5 months ago
The basis number of the powers of the complete graph
A basis of the cycle space C(G) of a graph G is h-fold if each edge of G occurs in at most h cycles of the basis. The basis number b(G) of G is the least integer h such that C(G) ...
Salar Y. Alsardary, Jerzy Wojciechowski
BMCBI
2007
162views more  BMCBI 2007»
13 years 5 months ago
Three-Dimensional Phylogeny Explorer: Distinguishing paralogs, lateral transfer, and violation of "molecular clock" assumption w
Background: Construction and interpretation of phylogenetic trees has been a major research topic for understanding the evolution of genes. Increases in sequence data and complexi...
Namshin Kim, Christopher Lee
FOCS
1994
IEEE
13 years 10 months ago
The Power of Team Exploration: Two Robots Can Learn Unlabeled Directed Graphs
We show that two cooperating robots can learn exactly any strongly-connected directed graph with n indistinguishable nodes in expected time polynomial in n. We introduce a new typ...
Michael A. Bender, Donna K. Slonim
DM
2002
92views more  DM 2002»
13 years 5 months ago
A local-global principle for vertex-isoperimetric problems
We consider the vertex-isoperimetric problem for cartesian powers of a graph G. A total order on the vertex set of G is called isoperimetric if the boundary of sets of a given siz...
Sergei L. Bezrukov, Oriol Serra
NJC
2000
99views more  NJC 2000»
13 years 5 months ago
An Incremental Unique Representation for Regular Trees
In order to deal with infinite regular trees (or other pointed graph structures) efficiently, we give new algorithms to store such structures. The trees are stored in such a way th...
Laurent Mauborgne