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» Colouring Vertices of Triangle-Free Graphs
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DAM
1998
75views more  DAM 1998»
13 years 7 months ago
Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
Jørgen Bang-Jensen, Gregory Gutin, Anders Y...
DM
2010
115views more  DM 2010»
13 years 7 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
127views more  DM 2008»
13 years 7 months ago
An adjacency lemma for critical multigraphs
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
David Cariolaro
GD
2004
Springer
14 years 1 months ago
Layouts of Graph Subdivisions
A k-stack layout (respectively, k-queue layout) of a graph consists of a total order of the vertices, and a partition of the edges into k sets of non-crossing (non-nested) edges wi...
Vida Dujmovic, David R. Wood
COCOON
2006
Springer
13 years 11 months ago
Finding Small OBDDs for Incompletely Specified Truth Tables Is Hard
We present an efficient reduction mapping undirected graphs G with n = 2k vertices for integers k to tables of partially specified Boolean functions g : {0, 1}4k+1 {0, 1, } so tha...
Jesper Torp Kristensen, Peter Bro Miltersen