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» An edge colouring of multigraphs
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BIRTHDAY
2009
Springer
14 years 2 months ago
Properly Coloured Cycles and Paths: Results and Open Problems
In this paper, we consider a number of results and six conjectures on properly coloured (PC) paths and cycles in edge-coloured multigraphs. We overview some known results and prov...
Gregory Gutin, Eun Jung Kim
CPC
2000
57views more  CPC 2000»
13 years 7 months ago
Zeros Of Reliability Polynomials And F-Vectors Of Matroids
Abstract. For a nite multigraphG, the reliability function of G is the probability RG(q) that if each edge of G is deleted independently with probability q then the remaining edges...
David G. Wagner
COMBINATORICS
2006
116views more  COMBINATORICS 2006»
13 years 7 months ago
Neighbour-Distinguishing Edge Colourings of Random Regular Graphs
A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to...
Catherine S. Greenhill, Andrzej Rucinski
AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
14 years 1 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian
WG
2010
Springer
13 years 5 months ago
Efficient Algorithms for Eulerian Extension
Eulerian extension problems aim at making a given (directed) (multi-)graph Eulerian by adding a minimum-cost set of edges (arcs). These problems have natural applications in schedu...
Frederic Dorn, Hannes Moser, Rolf Niedermeier, Mat...