%0 Journal Article
%T 双圈图的零强迫数与一般位置数<br>Zero Forcing Number and General Position Number in Bicyclic Graphs
%A 荆瑜
%J Advances in Applied Mathematics
%P 1897-1907
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.124196
%X 设F(G)是图G的零强迫数，gp(G)是图G的一般位置数。注意，gp(G)≥F(T)+1对所有树T都成立。Hua等人在中证明了此结果可以扩展到块图，并证明了对于连通单圈图G，gp(G)≥F(T)。在本文中，我们刻画了使得gp(G)≥F(T)成立的双圈图的结构。<br />
Let F(G) be the zero forcing number of G and gp(G) be the general position number of G. Note that <span>gp(G)≥F(T)+1</span> holds for any tree T. Hua et al. showed that this result can be extended to block graphs, and showed that  gp(G)≥F(T) for connected unicyclic graphs. In this paper, we charac-terize the structure of bicyclic graphs satisfying gp(G)≥F(T).
%K 零强迫数，一般位置数，双圈图<br>Zero Forcing Number
%K General Position Number
%K Bicyclic Graph
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=64811