F-index for bipolar fuzzy graph with application

ZainAlabdeen M.lafta , Ali Asghar Talebi

Page No: 49-66

Several applications exist for various kinds of topological index of graphs, and several results are accessible for crisp graphs. However, we find many situations in practical applications that cannot be modeled using crisp graphs. To handle such a situation, we need those topological indices defined in a bipolar fuzzy graph in this article, F-index for bipolar fuzzy graphs is introduced and some bounds on F-index are provided for several bipolar fuzzy graphs such as path, star, cycle, complete bipolar fuzzy graph, etc. In this article, we get the maximal 𝐵𝐹𝐺 with respect to the F-index given the vertex set Finally, we present on Application of F-index to find the best health center in providing medical services.

Citations

APA: ZainAlabdeen M.lafta , Ali Asghar Talebi (2026). F-index for bipolar fuzzy graph with application. DOI: 10.86493/OTJ.26350205

AMA: ZainAlabdeen M.lafta , Ali Asghar Talebi. F-index for bipolar fuzzy graph with application. 2026. DOI: 10.86493/OTJ.26350205

Chicago: ZainAlabdeen M.lafta , Ali Asghar Talebi. "F-index for bipolar fuzzy graph with application." Published 2026. DOI: 10.86493/OTJ.26350205

IEEE: ZainAlabdeen M.lafta , Ali Asghar Talebi, "F-index for bipolar fuzzy graph with application," 2026, DOI: 10.86493/OTJ.26350205

ISNAD: ZainAlabdeen M.lafta , Ali Asghar Talebi. "F-index for bipolar fuzzy graph with application." DOI: 10.86493/OTJ.26350205

MLA: ZainAlabdeen M.lafta , Ali Asghar Talebi. "F-index for bipolar fuzzy graph with application." 2026, DOI: 10.86493/OTJ.26350205