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» Bounding the Number of Edges in Permutation Graphs
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SIAMDM
2008
79views more  SIAMDM 2008»
13 years 8 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
GC
2007
Springer
13 years 8 months ago
Rainbows in the Hypercube
Let Qn be a hypercube of dimension n, that is, a graph whose vertices are binary n-tuples and two vertices are adjacent iff the corresponding n-tuples differ in exactly one posit...
Maria Axenovich, Heiko Harborth, Arnfried Kemnitz,...
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 10 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
ALGORITHMICA
2000
85views more  ALGORITHMICA 2000»
13 years 8 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
JAL
2006
175views more  JAL 2006»
13 years 8 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin