We consider several extremal problems of maximizing the number of colorings and independent sets in some graph families with fixed chromatic number and order. First, we address the problem of maximizing the number of colorings in the family of connected graphs with chromatic number k and order n where k≥4 role= presentation style= box-sizing: inherit; display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: rel...
The aim of the paper is to classify certain geometric structures, called arcs. The main computing to...
Let p > 3 be a prime number and let r be an integer with 1 < r < p - 1. For each r, let moreover G(r...
The goal of this study was to compare anthocyanin extraction from Arbutus unedo L. fruits, by using ...
We classify the trees on n vertices with the maximum and the minimum number of certain generalized c...
Let k := (k1,...,k2) be a sequence of natural numbers. For a graph G, let F (G;k) denote the number ...
An eigenvalue of a graph is main iff its associated eigenspace is not orthogonal to the all-one vect...
Let $E$ be a non-CM elliptic curve defined over $\mathbb {Q}$. Fix an algebraic closure $\overline{\...
A collocation method based on the Bernstein polynomials defined on the interval [a, b] is developed ...
Let $K$ be a multiquadratic extension of $\mathbb{Q}$ and let $\text{Cl}^{+}(K)$ be its narrow class...
Abstract: In this paper, a Cohen-Grossberg neural network composed of two neurons with nonisochronou...
Assuming that Siegel zeros exist, we prove a hybrid version of the Chowla and Hardy-Littlewood prime...
We prove Caccioppoli type estimates and consequently establish local Hölder continuity for a class o...
Inspired by some iterative algorithms useful for proving the real analyticity (or the Gevrey regular...
The directed Zero divisor graph is a graph constructed out of a non-Commutative ring R and its non-z...
In this work we prove sharp $L^p$ versions of multipolar Hardy inequalities in the case of a bipolar...
The aim of the paper is to classify certain geometric structures, called arcs. The main computing to...
Let p > 3 be a prime number and let r be an integer with 1 < r < p - 1. For each r, let moreover G(r...
The goal of this study was to compare anthocyanin extraction from Arbutus unedo L. fruits, by using ...
We classify the trees on n vertices with the maximum and the minimum number of certain generalized c...
Let k := (k1,...,k2) be a sequence of natural numbers. For a graph G, let F (G;k) denote the number ...
An eigenvalue of a graph is main iff its associated eigenspace is not orthogonal to the all-one vect...
Let $E$ be a non-CM elliptic curve defined over $\mathbb {Q}$. Fix an algebraic closure $\overline{\...
A collocation method based on the Bernstein polynomials defined on the interval [a, b] is developed ...
Let $K$ be a multiquadratic extension of $\mathbb{Q}$ and let $\text{Cl}^{+}(K)$ be its narrow class...
Abstract: In this paper, a Cohen-Grossberg neural network composed of two neurons with nonisochronou...
Assuming that Siegel zeros exist, we prove a hybrid version of the Chowla and Hardy-Littlewood prime...
We prove Caccioppoli type estimates and consequently establish local Hölder continuity for a class o...
Inspired by some iterative algorithms useful for proving the real analyticity (or the Gevrey regular...
The directed Zero divisor graph is a graph constructed out of a non-Commutative ring R and its non-z...
In this work we prove sharp $L^p$ versions of multipolar Hardy inequalities in the case of a bipolar...
The aim of the paper is to classify certain geometric structures, called arcs. The main computing to...
Let p > 3 be a prime number and let r be an integer with 1 < r < p - 1. For each r, let moreover G(r...
The goal of this study was to compare anthocyanin extraction from Arbutus unedo L. fruits, by using ...