On the nullity of bicyclic graphs

A note on the nullity of unicyclic signed graphs

“…More results on the nullity (or rank) of graphs can be found in the book [28] and the paper [31]. For the nullity of some special classes of graphs, one can refer to the papers [10,12,[14][15][16]20,[23][24][25]27,32,34].…”

On bipartite graphs which attain minimum rank among bipartite graphs with given diameter

“…Recently Chang, Huang, and Yeh characterized the graphs with rank 4 in [4] and also the graphs with rank 5 in [5]. Other works on the rank or nullity of graphs can be found in [2,12,14,15,16,17,18,19,20].…”

Positive and negative inertia index of a graph

“…There have been diverse studies on the nullity of a graph [1][2][3][5][6][7][8][10][11][12][13][14]; it is related to the stability of molecular represented by the graph. However, there is very little literature on positive and negative inertia index of a graph.…”