@Article{AAM-36-3, author = {Xia, Wang and Hong, Bian and Yu, Haizheng}, title = {Bicyclic Graphs with Unicyclic or Bicyclic Inverses}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {36}, number = {3}, pages = {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 $\mathcal{H}$ be the class of connected bipartite graphs with unique perfect matchings. We present a characterization of bicyclic graphs in $\mathcal{H}$ which possess unicyclic or bicyclic inverses.

}, issn = {}, doi = {https://doi.org/2020-AAM-18592}, url = {https://global-sci.com/article/72666/bicyclic-graphs-with-unicyclic-or-bicyclic-inverses} }