Markov networks are a common class of graphical models used in machine learning. Such models use an undirected graph to capture dependency information among random variables in a ...
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
This paper introduces a new definition of dense subgraph pattern, the DN-graph. DN-graph considers both the size of the sub-structure and the minimum level of interactions betwee...
Nan Wang, Jingbo Zhang, Kian-Lee Tan, Anthony K. H...
Abstract. Settling a ten years open question, we show that the NPcomplete Feedback Vertex Set problem is deterministically solvable in O(ck ·m) time, where m denotes the number of...
We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We...