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COMBINATORICS
2004
108views more  COMBINATORICS 2004»
15 years 2 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...
APPROX
2004
Springer
149views Algorithms» more  APPROX 2004»
15 years 8 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
ICCAD
1996
IEEE
90views Hardware» more  ICCAD 1996»
15 years 6 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
CPC
2004
136views more  CPC 2004»
15 years 2 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 7 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