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Graph energies and their applications
(Beograd : Académie Serbe des sciences et des arts, 2019)
The energy E(G) of a graph G is the sum of absolute values of the
eigenvalues of the adjacency matrix of G. This spectral quantity was introduced in 1978 by
Ivan Gutman, but its extensive research started only twenty ...
On borderenergetic graphs
(Beograd : Académie Serbe des sciences et des arts, 2017)
A graph G of order n is said to be borderenergetic if its energy is equal
to 2n − 2 and if G̸∼
= Kn. The first such graphwas discovered in 2001, but their systematic
study started only in 2015. The main hitherto established ...