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» An edge colouring of multigraphs
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DM
2010
131views more  DM 2010»
13 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»
13 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...
FOCS
2003
IEEE
14 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»
13 years 9 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

Book
1197views
15 years 7 months ago
Graph Theory with Applications
A classic book on graph theory.
J.A. Bondy and U.S.R. Murty