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JGT
2011
109views more  JGT 2011»
14 years 5 months ago
Total weight choosability of graphs
A graph G = (V, E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, an...
Tsai-Lien Wong, Xuding Zhu
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
14 years 10 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
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
14 years 10 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
DAM
2008
75views more  DAM 2008»
14 years 10 months ago
Equistable distance-hereditary graphs
Abstract. A graph is called equistable when there is a nonnegative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stab...
Ephraim Korach, Uri N. Peled, Udi Rotics
DM
2010
115views more  DM 2010»
14 years 10 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...