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» A note on degree-constrained subgraphs
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DAM
2008
101views more  DAM 2008»
13 years 5 months ago
Degree constrained subgraphs
In this paper, we present new structural results about the existence of a subgraph where the degrees of the vertices are pre-specified. Further, we use these results to prove a 16...
Louigi Addario-Berry, Ketan Dalal, Bruce A. Reed
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
13 years 7 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
GC
2011
Springer
13 years 9 days ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
IPL
2008
104views more  IPL 2008»
13 years 5 months ago
A note on harmonic subgraphs in labelled geometric graphs
Let S be a set of n points in general position in the plane, labelled bijectively with the integers {0, 1, . . ., n - 1}. Each edge (the straight segment that joins two points) is...
Gabriela Araujo, József Balogh, Ruy Fabila ...
DM
2008
48views more  DM 2008»
13 years 5 months ago
A note on degree-constrained subgraphs
András Frank, Lap Chi Lau, Jácint Sz...