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COMBINATORICA
1998
77views more  COMBINATORICA 1998»
13 years 7 months ago
A Bound on the Total Chromatic Number
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...
Michael Molloy, Bruce A. Reed
CPC
2011
199views Education» more  CPC 2011»
13 years 2 months ago
Sub-Gaussian Tails for the Number of Triangles in G( n, p)
Let X be the random variable that counts the number of triangles in the binomial random graph G(n, p). We show that for some positive constant c, the probability that X deviates f...
Guy Wolfovitz
GD
2004
Springer
14 years 1 months ago
Computing Radial Drawings on the Minimum Number of Circles
A radial drawing is a representation of a graph in which the vertices lie on concentric circles of finite radius. In this paper we study the problem of computing radial drawings ...
Emilio Di Giacomo, Walter Didimo, Giuseppe Liotta,...
FOCS
1999
IEEE
14 years 5 days ago
The Directed Steiner Network Problem is Tractable for a Constant Number of Terminals
We consider the DIRECTED STEINER NETWORK problem, also called the POINT-TO-POINT CONNECTION problem, where given a directed graph G and p pairs {(s1,t1),...,(sp,tp)} of nodes in t...
Jon Feldman, Matthias Ruhl
SIAMDM
2000
103views more  SIAMDM 2000»
13 years 7 months ago
Directional Routing via Generalized st-Numberings
We present a mathematical model for network routing based on generating paths in a consistent direction. Our development is based on an algebraic and geometric framework for defini...
Fred S. Annexstein, Kenneth A. Berman