MANIFOLD MATCHING COMPLEXES

被引:7
|
作者
Bayer, Margaret [1 ]
Goeckner, Bennet [2 ]
Milutinovic, Marija Jelic [3 ]
机构
[1] Univ Kansas, Lawrence, KS 66045 USA
[2] Univ Washington, Seattle, WA 98195 USA
[3] Univ Belgrade, Belgrade, Serbia
基金
美国国家科学基金会;
关键词
05C70 (primary); 05E45; 57M15 (secondary); CHESSBOARD;
D O I
10.1112/mtk.12049
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The matching complex of a graph is the simplicial complex whose vertex set is the set of edges of the graph with a face for each independent set of edges. In this paper, we completely characterize the pairs (graph, matching complex) for which the matching complex is a homology manifold, with or without boundary. Except in dimension two, all of these manifolds are spheres or balls.
引用
收藏
页码:973 / 1002
页数:30
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