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Hedgegraph Polymatroids
Karthekeyan Chandrasekaran, Chandra Chekuri, Weihang Wang +1
Graphs and hypergraphs combine expressive modeling power with algorithmic efficiency for a wide range of applications. Hedgegraphs generalize hypergraphs further by grouping hypere…
Approximating submodular -partition via principal partition sequence
Karthekeyan Chandrasekaran, Weihang Wang
In submodular -partition, the input is a non-negative submodular function defined over a finite ground set (given by an evaluation oracle) along with a positive integer…
Approximate minimum cuts and their enumeration
Calvin Beideman, Karthekeyan Chandrasekaran, Weihang Wang
We show that every -approximate minimum cut in a connected graph is the unique minimum -terminal cut for some subsets and of vertices each of size at most $\lfloo…
Counting and enumerating optimum cut sets for hypergraph -partitioning problems for fixed
Calvin Beideman, Karthekeyan Chandrasekaran, Weihang Wang
We consider the problem of enumerating optimal solutions for two hypergraph -partitioning problems -- namely, Hypergraph--Cut and Minmax-Hypergraph--Partition. The input i…
Deterministic enumeration of all minimum cut-sets and -cut-sets in hypergraphs for fixed
Calvin Beideman, Karthekeyan Chandrasekaran, Weihang Wang
We consider the problem of deterministically enumerating all minimum -cut-sets in a given hypergraph for any fixed . The input here is a hypergraph with non-nega…
-norm Multiway Cut
Karthekeyan Chandrasekaran, Weihang Wang
We introduce and study -norm-multiway-cut: the input here is an undirected graph with non-negative edge weights along with terminals and the goal is to find a partition…
Fixed Parameter Approximation Scheme for Min-max -cut
Karthekeyan Chandrasekaran, Weihang Wang
We consider the graph -partitioning problem under the min-max objective, termed as Minmax -cut. The input here is a graph with non-negative edge weights $w:E\righta…