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» Compressing Bounded Degree Graphs
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CORR
2007
Springer
155views Education» more  CORR 2007»
14 years 9 months ago
Low-density graph codes that are optimal for source/channel coding and binning
We describe and analyze the joint source/channel coding properties of a class of sparse graphical codes based on compounding a low-density generator matrix (LDGM) code with a low-...
Martin J. Wainwright, Emin Martinian
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
15 years 10 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
SIAMDM
2010
109views more  SIAMDM 2010»
14 years 4 months ago
Ends and Vertices of Small Degree in Infinite Minimally k-(Edge)-Connected Graphs
Bounds on the minimum degree and on the number of vertices attaining it have been much studied for finite edge-/vertex-minimally kconnected/k-edge-connected graphs. We give an ove...
Maya Stein
85
Voted
DM
2008
177views more  DM 2008»
14 years 9 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...
CORR
2010
Springer
94views Education» more  CORR 2010»
14 years 4 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood