A relationship between bounds on the sum of squares of degrees of a graph

Irregularity measures of graph

“…More about (4) one can refer to [9,16,23,27,36,42]. Based on (4) in [19] a measure called Edwards irregularity measure was defined as…”

H-triangles with 3 interior H-points

“…Let b( ) be the number of the boundary H -points of an H -triangle . In this note we prove that any H -triangle with exactly 3 interior H -points can have 3,4,5,6, 7, 8, 9, 10, 11, 12, 13, 14 or 16 H -points on its boundary. …”

“…On the basis of [1] we show that any H -triangle with exactly 3 interior H -points can have 3,4,5,6,7,8,9,10,11,12,13,14 or 16 H -points on its boundary, and cannot have 15 nor greater than 17 such points. We will use the notion of level of an H -triangle = conv{x, y, z}.…”

“…We will denote this lattice by T , and the point of it by T -point. For the related research see [2][3][4][5][6].…”

On some irregularity measures of graphs

“…More on the inequality (5) one can find in [12,20,25,44]. Based on (5), in [21] Edwards' irregularity measure was defined as…”