Bicyclic Graphs with Unicyclic or Bicyclic Inverses
Year: 2020
Author: Xia Wang, Hong Bian, Haizheng Yu
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 270–281
Abstract
A graph G is nonsingular if its adjacency matrix A(G) is nonsingular. A nonsingular graph G is said to have an inverse G+ if A(G)−1 is signature similar to a nonnegative matrix. Let H be the class of connected bipartite graphs with unique perfect matchings. We present a characterization of bicyclic graphs in H which possess unicyclic or bicyclic inverses.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18592
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 270–281
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: inverse graph unicyclic graph bicyclic graph perfect matching.
Author Details
Xia Wang Email
Hong Bian Email
Haizheng Yu Email