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...
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...
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...
— 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...
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...