Volume 11, Issue 3

Extremal polygonal cacti for Wiener index and Kirchhoff index

Zeng, Mingyao؛ Zeng, Mingyao؛ Xiao, Qiqi؛ Xiao, Qiqi؛ Tang, Zikai؛ Tang, Zikai؛ Deng, H. Y.؛ Deng, H. Y. (University of Kashan, 2020-09-01)

For a connected graph G, the Wiener index W(G) of G is the sum of the distances of all pairs of vertices, the Kirchhoff index Kf(G) of G is the sum of the resistance distances of all pairs of vertices. A k-polygonal cactus ...
Non-uniform Hypergraphs

Shirdel, Gholam Hassan؛ Mortezaee, Ameneh؛ Golpar-raboky, Effat (University of Kashan, 2020-09-01)

The non-uniform hypergraph is the general hypergraph in which an edge can join any number of vertices. This makes them more applicable data structure than the uniform hypergraph and also, on the other hand, mathematical ...
Bounds of the Symmetric Division Deg Index For Trees And Unicyclic Graphs With A Perfect Matching

Rajpoot, Abhay؛ Selvaganesh, Lavanya (University of Kashan, 2020-09-01)

The Symmetric division deg (SDD) index is a well-established valuable index in the analysis of quantitative structure-property and structure-activity relationships for molecular graphs. In this paper, we study the range ...