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» Edge colouring by total labellings
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DM
2010
115views more  DM 2010»
14 years 11 months ago
Edge colouring by total labellings
We introduce the concept of an edge-colouring total k-labelling. This is a labelling of the vertices and the edges of a graph G with labels 1, 2, . . . , k such that the weights o...
Stephan Brandt, Kristína Budajová, D...
DM
2008
72views more  DM 2008»
14 years 11 months ago
(p, 1)-Total labelling of graphs
A (p, 1)-total labelling of a graph G is an assignment of integers to V (G) E(G) such that: (i) any two adjacent vertices of G receive distinct integers, (ii) any two adjacent ed...
Frédéric Havet, Min-Li Yu
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
14 years 11 months ago
Edge and Total Choosability of Near-Outerplanar Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 4, then G is totally ( + 1)-choosable; that is, if every element (vertex or edge) of G is assigned a list of ...
Timothy J. Hetherington, Douglas R. Woodall
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
14 years 11 months ago
Total 4-Choosability of Series-Parallel Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
Douglas R. Woodall
DM
2002
102views more  DM 2002»
14 years 10 months ago
Totally magic graphs
A total labeling of a graph with v vertices and e edges is defined as a one-to-one map taking the vertices and edges onto the integers 1, 2,
Geoffrey Exoo, Alan C. H. Ling, John P. McSorley, ...