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SIAMDM
2010
96views more  SIAMDM 2010»
13 years 8 months ago
Note on Bipartite Graph Tilings
Let s < t be two fixed positive integers. We study what are the minimum degree conditions for a bipartite graph G, with both color classes of size n = k(s + t), which ensure t...
Jan Hladký, Mathias Schacht
JCSS
1998
65views more  JCSS 1998»
13 years 9 months ago
Good Degree Bounds on Nullstellensatz Refutations of the Induction Principle
This paper gives nearly optimal, logarithmic upper and lower bounds on the minimum degree of Nullstellensatz refutations (i.e., polynomials) of the propositional induction princip...
Samuel R. Buss, Toniann Pitassi
FOCS
2008
IEEE
14 years 4 months ago
Degree Bounded Network Design with Metric Costs
Given a complete undirected graph, a cost function on edges and a degree bound B, the degree bounded network design problem is to find a minimum cost simple subgraph with maximum...
Yuk Hei Chan, Wai Shing Fung, Lap Chi Lau, Chun Ko...
GLOBECOM
2006
IEEE
14 years 3 months ago
Protograph LDPC Codes with Node Degrees at Least 3
— In this paper we present protograph codes with a small number of degree-3 nodes and one high degree node. The iterative decoding threshold for proposed rate 1/2 codes are lower...
Dariush Divsalar, Christopher Jones
GC
2007
Springer
13 years 9 months ago
Subdivision Extendibility
Let H be a multigraph and G a graph containing a subgraph isomorphic to a subdivision of H, with S ⊂ V (G) (the ground set) the image of V (H) under the isomorphism. We consider...
Ronald J. Gould, Thor Whalen