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DM
2008
177views more  DM 2008»
14 years 11 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
JGT
2008
55views more  JGT 2008»
14 years 11 months ago
Ore-type degree conditions for a graph to be H-linked
Given a fixed multigraph H with V (H) = {h1, . . . , hm}, we say that a graph G is H-linked if for every choice of m vertices v1, . . . , vm in G, there exists a subdivision of H i...
Alexandr V. Kostochka, Gexin Yu
DMTCS
2010
157views Mathematics» more  DMTCS 2010»
14 years 8 months ago
Edge-Removal and Non-Crossing Configurations in Geometric Graphs
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
Oswin Aichholzer, Sergio Cabello, Ruy Fabila Monro...
LCTRTS
2007
Springer
15 years 5 months ago
Scratchpad allocation for data aggregates in superperfect graphs
Existing methods place data or code in scratchpad memory, i.e., SPM by either relying on heuristics or resorting to integer programming or mapping it to a graph coloring problem. ...
Lian Li 0002, Quan Hoang Nguyen, Jingling Xue
TIT
2011
131views more  TIT 2011»
14 years 6 months ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson