On the roots of domination polynomials
Webpolynomials. Finally we study graphs with exactly two total domination roots {−3,0}, {−2,0} and {−1,0} in Section 4. 2 Irrelevant edges The easiest recurrence relation for total domination polynomial of a graph is to remove an edge and to compute the total domination polynomial of the graph arising instead of the one for the original graph. WebFibonacci polynomials, roots of polynomial equations, the modular group, Hecke groups. Received: 14 March 2024; Revised: 06 July 2024; Accepted: 25 July 2024 Communicated by Dragan S. Djordjevic´
On the roots of domination polynomials
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Web11 de abr. de 2024 · Notes +, -and * have their obvious meanings for polynomials. ^ is limited to non-negative integer powers. / returns the polynomial quotient. If division is not exact the remainder is discarded, (but see 4.) %% returns the polynomial remainder, so that if all arguments are polynomials, p1 * (p2 / p1) + p2 %% p1 is the same polynomial as … Web9 de mai. de 2024 · A polynomial is said to be unimodal if its coefficients are non-decreasing and then non-increasing. The domination polynomial of a graph G is the generating function of the number of dominating sets of …
Web24 de mar. de 2024 · Polynomial Roots. A root of a polynomial is a number such that . The fundamental theorem of algebra states that a polynomial of degree has roots, some of … Web4 de jul. de 2024 · In this paper, we study roots of the total domination polynomial of some graphs. We show that all roots of D t (G, x) lie in the circle with center (–1, 0) and radius …
Web31 de mai. de 2016 · Let us now investigate graphs whose domination polynomials have only real roots. More precisely for which graph , is a subset of Also we obtain the … Web31 de jan. de 2024 · We investigate the independent domination polynomials of some generalized compound graphs. As consequence, we construct graphs whose independence domination roots are real. ... On the location of roots of domination polynomials. Discrete Appl. Math., 205 (2016), pp. 126-131. View PDF View article View in Scopus …
Web14 de jan. de 2014 · The roots of domination polynomial is called domination roots. In this article, we compute the domination polynomial and domination roots of all graphs of order less than or equal to 6, and show them in the tables. This atlas has published in the PhD thesis of the first author in 2009 and also in book "Dominating sets and domination …
Web1 de jul. de 2024 · [1] Ahmed A. O. and Haneen H. O. 2024 Hn-Domination in Graphs Baghdad Science Journal 16 Google Scholar [2] Saeid A. and Yee H. P. 2008 Dominating sets and domination polynomial of cycles Global Journal of Pure and Applied Mathematics 4 151-162 Google Scholar [3] Saeid A. and Yee H. P. 2011 Domination polynomials of … literacy rate in tripuraWeb31 de jul. de 2024 · Dear Colleagues, We would like to announce that in 2024 the Journal Symmetry will publish an additional Special Issue for the 32th Congress of the Jangjeon Mathematical Society (ICJMS2024), which will be held at Far Eastern Federal Universit, Vladivostok, Russia. The papers presented at this conference will be considered for … importance of barbing salonWeb31 de dez. de 2024 · The domination polynomial is defined by D(G,x) =∑dkxk D ( G, x) = ∑ d k x k where dk d k is the number of dominating sets in G G with cardinality k k. In this … importance of barangay health centerWebThe domination polynomials and their roots (domination roots) have been of signi cant interest over the last 10 years(c.f. [3]). Alikhani characterized graphs with two, three and four distinct domination roots [1, 2]. In [10] Oboudi gave a degree and order dependent bound on the modulus of domi- importance of barangay tanodWebIn this paper, we consider the family of n th degree polynomials whose coefficients form a log-convex sequence (up to binomial weights), and investigate their roots. We study, among others, the structure of the set of roots of such polynomials, showing that it is a closed convex cone in the upper half-plane, which covers its interior when n tends to infinity, … importance of banquo in macbethWeb1 de mai. de 2014 · While the roots of domination polynomials are not always real and are in fact dense in the complex plane [6], Oboudi [21] conjectured that star-like graphs … importance of bar bench relationsWebWe study the domination polynomials of this family of graphs, and in particular examine the domination roots of the family, and find the limiting curve for the roots. We also show that for ... We study the domination polynomials of this family of graphs, and in particular examine the domination roots of the family, and find the limiting ... importance of barch