α valuations of special classes of quadratic graphs

α Valuations of Special Classes of Quadratic Graphs

An Integer Programming Model and a Tabu Search Algorithm to Generate α-labeling of Special Classes of Quadratic Graphs

First, an integer programming model is proposed to find an α-labeling for quadratic graphs. Then, a Tabu search algorithm is developed to solve large scale problems. The proposed approach can generate α-labeling for special classes of quadratic graphs, not previously reported in the literature. Then, the main theorem of the paper is presented. We show how a problem in graph theory c...

Extension of α-labelings of quadratic graphs

First, a new proof for the existence of an α-labeling of the quadratic graph Q(3, 4k) is presented. Then the existence of α-labelings of special classes of quadratic graphs with some isomorphic components is shown. 1. Introduction. In this paper, all graphs are finite without loops or multiple edges, and all parameters are positive integers. The symbols |A|, P n , and C n denote the cardi-nalit...

Hadwiger’s conjecture on special classes of graphs

The Hadwiger number of a graph G is the largest integer n for which the complete graph on n vertices is a minor of G. Hadwiger conjectured that for any graph G, ,where is the chromatic number of G. We will address Hadwiger’s conjecture for circular arc graphs and their subfamilies. Circular arc graphs are graphs whose vertices can be represented as arcs on a circle such that any two vertices ar...

On Some Special Classes of Sonnenschein Matrices

‎In this paper we consider the special classes of Sonnenschein matrices‎, ‎namely the Karamata matrices $K[alpha,beta]=left(a_{n,k}right)$ with the entries‎ ‎[{a_{n,k}} = sumlimits_{v = 0}^k {left( begin{array}{l}‎ ‎n\‎ ‎v‎ ‎end{array} right){{left( {1‎ - ‎alpha‎ - ‎beta } right)}^v}{alpha ^{n‎ - ‎v}}left( begin{array}{l}‎ ‎n‎ + ‎k‎ - ‎v‎ - ‎1\‎ ‎,,,,,,,,,,k...

the impact of attending efl classes on the level of depression of iranian female learners and their attributional complexity

می توان گفت واقعیت چند لایه ا ی کلاس های زبان انگلیسی بسیار حائز اهمیت است، زیرا عواطف و بینش های زبان آموزان تحت تاثیر قرار می گیرد. در پژوهش پیش رو، گفته می شود که دبیران با در پیش گرفتن رویکرد فرا-انسانگرایی ، قادرند در زندگی دانش آموزانشان نقش مهمی را ایفا سازند. بر اساس گفته ی ویلیامز و بردن (2000)، برای کرل راجرز، یکی از بنیان گذاران رویکرد انسانگرایی ، یادگیری بر مبنای تجربه، نوعی از یاد...