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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
16 years 5 days 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