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143
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COMBINATORICS
2004
108views more  COMBINATORICS 2004»
15 years 4 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
152
Voted
APPROX
2004
Springer
149views Algorithms» more  APPROX 2004»
15 years 10 months ago
Edge Coloring with Delays
Consider the following communication problem, that leads to a new notion of edge coloring. The communication network is represented by a bipartite multigraph, where the nodes on o...
Noga Alon, Vera Asodi
119
Voted
ICCAD
1996
IEEE
90views Hardware» more  ICCAD 1996»
15 years 9 months ago
A coloring approach to the structural diagnosis of interconnects
This paper presents a new approach for diagnosing stuck-at and short faults in interconnects whose layouts are known. This structural approach exploits dierent graph coloring and ...
Xiao-Tao Chen, Fabrizio Lombardi
158
Voted
CPC
2004
136views more  CPC 2004»
15 years 4 months ago
On the Strong Chromatic Number
The strong chromatic number, S(G), of an n-vertex graph G is the smallest number k such that after adding kn/k-n isolated vertices to G and considering any partition of the vertic...
Penny E. Haxell
ICALP
2001
Springer
15 years 9 months ago
Routing in Trees
Given an undirected graph with positive edge weights, define Nq(v) for each node v to be the set of q nodes closest to v (including v itself and breaking ties by node ID). It is ...
Pierre Fraigniaud, Cyril Gavoille