
arXiv: 1312.3401
AbstractTreewidth is a graph parameter of fundamental importance to algorithmic and structural graph theory. This article surveys several graph parameters tied to treewidth, including separation number, tangle number, well‐linked number, and Cartesian tree product number. We review many results in the literature showing these parameters are tied to treewidth. In a number of cases we also improve known bounds, provide simpler proofs, and show that the inequalities presented are tight.
Distance in graphs, Graph operations (line graphs, products, etc.), Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), graph parameters, treewidth, FOS: Mathematics, separators, Mathematics - Combinatorics, Combinatorics (math.CO), 05C75 (Primary) 05C72, 05C76, 05C83 (Secondary), branchwidth
Distance in graphs, Graph operations (line graphs, products, etc.), Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), graph parameters, treewidth, FOS: Mathematics, separators, Mathematics - Combinatorics, Combinatorics (math.CO), 05C75 (Primary) 05C72, 05C76, 05C83 (Secondary), branchwidth
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| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
