TY - JOUR
AU - Jorry, T. F.
PY - 2021/12/13
Y2 - 2024/11/07
TI - Study on Total Irregularity in Totally Segregated \(\infty\) Bicyclic Graphs
JF - Communications in Mathematics and Applications
JA - Comm. Math. Appl.
VL - 12
IS - 4
SE - Research Article
DO - 10.26713/cma.v12i4.1582
UR - http://www.rgnpublications.com/journals/index.php/cma/article/view/1582
SP - 931 - 940
AB - <p>Many measures of irregularity were introduced and studied before. Among them, the most investigated one is the Total Irregularity of a graph defined by Abdo et al. (The total irregularity of a graph, Discrete Mathematics and Theoretical Computer Science 16(1) (2014), 201 – 206). It is defined as sum of absolute values of difference of vertex degrees over all vertices of the graph. A graph in which every two adjacent vertices have distinct degrees is totally segregated. Here, we find the greatest Total Irregularity of Totally Segregated \(\infty\) bicyclic graphs and identify the extremal graphs.</p>
ER -