The double star sequences and the general second Zagreb index
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 2
Abstract
For a simple graph we introduce notions of the double star sequence, the double star fre- quently sequence and prove that these sequences are inverses of each other. As a consequence, we express the general second Zagreb index in terms of the double star sequence. Also, we calculate the ordinary generating function and a linear recurrence relation for the sequence of the general second Zagreb indexes.
Authors and Affiliations
L. Bedratyuk
Keywords
Related Articles
- EP ID EP609507
- DOI 10.15330/ms.51.2.115-123
- Views 52
- Downloads 0
Rings with the Kazimirsky condition and rings with projective socle
We construct the theory of diagonalizability for matrices over Bezout rings of stable range 1 with the Kazimirsky condition. It is shown that a ring of stable range 1 with the right (left) Kazimirsky condition is an elem...
Symmetric polynomials on the Cartesian power of Lp on the semi-axis
The paper deals with polynomials in the complex Banach space (Lp[0,+∞))n, which are the nth Cartesian power of the complex Banach space of Lebesgue measurable integrable in a power p complex-valued functions on [0,+∞), w...
On removable singularities of mappings in uniform spaces
The paper is devoted to the study of mappings of two metric spaces that distort the modulus of families of paths by analogy with the Poletskii inequality.We deal with the situation when the mapping acts in a space that a...
Metrically Ramsey ultrafilters
Given a metric space (X,d), we say that a mapping χ:[X]2⟶{0,1} is an isometric coloring if d(x,y)=d(z,t) implies χ({x,y})=χ({z,t}). A free ultrafilter U on an infinite metric space (X,d) is called metrically Ramsey if, f...
Entire curves having bounded l-index in ℓ∞
In this paper we propose an approach to introduce a concept of bounded index in an infinite-dimensional space. Our object of investigation is the space ℓ∞ equipped with the norm ∥x∥∞=sup{|xn|:n∈N}. We consider entire cur...