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» An edge colouring of multigraphs
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DM
2010
131views more  DM 2010»
14 years 10 months ago
On a construction of graphs with high chromatic capacity and large girth
The chromatic capacity of a graph G; CAP (G) ; is the largest integer k such that there is a k-colouring of the edges of G such that when the vertices of G are coloured with the s...
Bing Zhou
DM
2008
95views more  DM 2008»
14 years 10 months ago
General neighbour-distinguishing index of a graph
It is proved that edges of a graph G with no component K2 can be coloured using at most 2 log2 (G) + 1 colours so that any two adjacent vertices have distinct sets of colours of t...
Ervin Györi, Mirko Hornák, Cory Palmer...
79
Voted
FOCS
2003
IEEE
15 years 3 months ago
Switch Scheduling via Randomized Edge Coloring
The essence of an Internet router is an n ¡ n switch which routes packets from input to output ports. Such a switch can be viewed as a bipartite graph with the input and output p...
Gagan Aggarwal, Rajeev Motwani, Devavrat Shah, An ...
CORR
2004
Springer
94views Education» more  CORR 2004»
14 years 10 months ago
Track Layouts of Graphs
A (k, t)-track layout of a graph G consists of a (proper) vertex t-colouring of G, a total order of each vertex colour class, and a (non-proper) edge k-colouring such that between...
Vida Dujmovic, Attila Pór, David R. Wood
215
Voted

Book
1197views
16 years 8 months ago
Graph Theory with Applications
A classic book on graph theory.
J.A. Bondy and U.S.R. Murty