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» Bounding the Number of Edges in Permutation Graphs
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SIAMDM
2008
79views more  SIAMDM 2008»
15 years 6 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
15 years 6 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»
15 years 7 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»
15 years 6 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»
15 years 6 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