13 search results - page 2 / 3 » Properly Edge-Coloured Subgraphs in Colourings of Bounded De... |
DM
2010
13 years 5 months ago
2010
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
DM
2008
13 years 5 months ago
2008
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...
ENDM
2007
13 years 5 months ago
2007
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
IWOCA
2009
Springer
14 years 1 days ago
2009
Springer
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
MFCS
2007
Springer
13 years 11 months ago
2007
Springer
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by me...