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Note on irregular graphs
(Beograd : Académie Serbe des sciences et des arts, 2018)
Let G be a graph with vertex set V(G) and edge set E(G). For
v ∈ V(G), by dG(v) is denoted the degree of the vertex v. A graph in which not all vertices
have equal degrees is said to be irregular. Different quantitative ...
Gutman index – a critical personal account
(Beograd : Académie Serbe des sciences et des arts, 2021)
In the recent literature there are numerous publications concerned with a
graph invariant named “Gutman index” (ZZ). In this paper, some details about the discovery
of ZZ are explained. In particular, it is pointed out ...
Sombor index – one year later
(Beograd : Académie Serbe des sciences et des arts, 2020)
The Sombor index (SO) is a vertex–degree–based graph invariant, invented
in the Summer of 2020, and made publicly available in early 2021. In less than one year, a
remarkable number (almost fifty) research papers on this ...
On hyper–Zagreb index and coindex
(Beograd : Académie Serbe des sciences et des arts, 2017)
Let G be a graph with vertex set V and edges set E. By d(v) is denoted
the degree of its vertex v. Two much studied degree–based graph invariants are the
first and second Zagreb indices.
A recently proposed new invariant ...