Research Article

A Study on Vague Graph Structures with an Application

Table 1

Some basic notations.

NotationMeaning

FGFuzzy graph
FSFuzzy set
VSVague set
GSGraph structure
CGSComplete graph structure
VGSVague graph structure
VSGSVague subgraph structure
SGSSubgraph structure
FGSFuzzy graph structure
SVGSStrong vague graph structure
UGUnderlying graph
ENEnd node
SCSelf-complementary
SSCStrong self-complementary
TSCTotally self-complementary
TSSCTotally strong self-complement
PFSSGSPartial fuzzy spanning subgraph structure
UVSUnderlying vertex set
TSSCTotally strong self-complementary