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Spectral theory of Smith graphs
(Beograd : Académie Serbe des sciences et des arts, 2017)
Graphs whose spectrum belongs to the interval [−2, 2] are called Smith
graphs. The structure of a Smith graph with a given spectrum depends on a system of Diofantine
linear algebraic equations. We establish several ...
Generalized Laplace transform of locally integrable functions defined on [0,∞)
(Beograd : Académie Serbe des sciences et des arts, 2017)
In [Bull. Cl. Sci. Math. Nat. Sci. Math. 40 (2015), 99 − 113] we defined
the Laplace transform on a bounded interval [0, b], denoted by 0L, using some ideas of H.
Komatsu [J. Fac. Sci. Univ. Tokyo, IA, 34 (1987), 805–820] ...
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 ...
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 ...
Degenerate C-ultradistribution semigroups in locally convex spaces
(Beograd : Académie Serbe des sciences et des arts, 2017)
The main subject in this paper are degenerate C-ultradistribution semigroups in barreled sequentially complete locally convex spaces. Here, the regularizing operator C is not necessarily injective and the infinitesimal ...
Approximation and convergence of degenerate (a, k)-regularized C-resolvent families
(Beograd : Académie Serbe des sciences et des arts, 2017)
The main aim of this paper is to investigate approximation and convergence
of degenerate (a, k)-regularized C-resolvent families in locally convex spaces. We continue
our previous research of non-degenerate case [Numer. ...