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» An edge colouring of multigraphs
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BIRTHDAY
2009
Springer
16 years 1 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»
15 years 6 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»
15 years 6 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»
16 years 23 days 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
15 years 4 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...