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» The Alcuin Number of a Graph
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STOC
2007
ACM
134views Algorithms» more  STOC 2007»
16 years 6 months ago
Hardness of routing with congestion in directed graphs
Given as input a directed graph on N vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on pat...
Julia Chuzhoy, Venkatesan Guruswami, Sanjeev Khann...
IPPS
2005
IEEE
15 years 11 months ago
Optimal Channel Assignments for Lattices with Conditions at Distance Two
The problem of radio channel assignments with multiple levels of interference can be modeled using graph theory. Given a graph G, possibly infinite, and real numbers k1, k2, . . ...
Jerrold R. Griggs, Xiaohua Teresa Jin
DCG
2002
106views more  DCG 2002»
15 years 6 months ago
Perpendicular Dissections of Space
For each pair (Qi, Qj) of reference points and each real number r there is a unique hyperplane h QiQj such that d(P, Qi)2 - d(P, Qj)2 = r for points P in h. Take n reference point...
Thomas Zaslavsky
JGT
2008
97views more  JGT 2008»
15 years 6 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
CORR
2007
Springer
149views Education» more  CORR 2007»
15 years 6 months ago
Graph Entropy, Network Coding and Guessing games
We introduce the (private) entropy of a directed graph (in a new network coding sense) as well as a number of related concepts. We show that the entropy of a directed graph is ide...
Søren Riis