Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900615 | Applied Mathematics and Computation | 2018 | 11 Pages |
Abstract
Denote by Lg, l the lollipop graph obtained by attaching a pendant path P=vgvg+1â¯vg+l (lâ¯â¥â¯1) to a cycle C=v1v2â¯vgv1 (gâ¯â¥â¯3). A Fg,lâgraph of order nâ¥g+1 is defined to be the graph obtained by attaching nâgâl pendent vertices to some of the nonpendant vertices of Lg, l in which each vertex other than vg+lâ1 is attached at most one pendant vertex. A Fg,lâ-graph is a Fg,lâgraph in which vg is attached with pendant vertex. Denote by qmin the leastQâeigenvalue of a graph. In this paper, we proceed on considering the domination number, the least Q-eigenvalue of a graph as well as their relation. Further results obtained are as follows:
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guanglong Yu, Mingqing Zhai, Chao Yan, Shu-guang Guo,