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GLOBECOM
2007
IEEE
14 years 3 months ago
Colouring Link-Directional Interference Graphs in Wireless Ad Hoc Networks
—In this paper, we clarify inter-link interference in wireless ad-hoc networks by using link-directional interference graphs (l-graph). Most of the interference graphs in the lit...
Ping Chung Ng, David J. Edwards, Soung Chang Liew
ENDM
2002
74views more  ENDM 2002»
13 years 8 months ago
Vertex Coverings by Coloured Induced Graphs - Frames and Umbrellas
A graph G homogeneously embeds in a graph H if for every vertex x of G and every vertex y of H there is an induced copy of G in H with x at y. The graph G uniformly embeds in H if...
Wayne Goddard, Michael A. Henning
DAM
1998
75views more  DAM 1998»
13 years 8 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...
WG
2010
Springer
13 years 7 months ago
Colouring Vertices of Triangle-Free Graphs
The vertex colouring problem is known to be NP-complete in the class of triangle-free graphs. Moreover, it remains NP-complete even if we additionally exclude a graph F which is n...
Konrad Dabrowski, Vadim V. Lozin, Rajiv Raman, Ber...
MFCS
2007
Springer
14 years 3 months ago
Finding Paths Between Graph Colourings: PSPACE-Completeness and Superpolynomial Distances
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...
Paul S. Bonsma, Luis Cereceda