TY - JOUR
T1 - Pendant Graphs
T2 - Unveiling Regularity, Irregularity, and Support Vertices
AU - Mathew, Suji Elizabeth
AU - Kalayathankal, Sunny Joseph
AU - Thankachan, Baiju
AU - Mathew, Bibin
N1 - Publisher Copyright:
© (2025), (International Association of Engineers). All rights reserved.
PY - 2025
Y1 - 2025
N2 - This paper investigates Pendant Graphs, which are graphs that contain pendant vertices. It introduces a new perspective on the regularity and irregularity of pendant graphs, and discusses their relationship with Highly Irregular Graphs. Additionally, this work introduces a novel graph based on the concept derived from (m, k) Regular Graphs. The (m, k) regular graphs are closely related to Pendant Graph. The paper also delves into the nature and characteristics of pendant vertices. By exploring the characteristics of pendant vertices and defining the Cyclic Dendrimer Graph, the paper significantly contributes to both Graph Theory and Chemical Graph Theory.
AB - This paper investigates Pendant Graphs, which are graphs that contain pendant vertices. It introduces a new perspective on the regularity and irregularity of pendant graphs, and discusses their relationship with Highly Irregular Graphs. Additionally, this work introduces a novel graph based on the concept derived from (m, k) Regular Graphs. The (m, k) regular graphs are closely related to Pendant Graph. The paper also delves into the nature and characteristics of pendant vertices. By exploring the characteristics of pendant vertices and defining the Cyclic Dendrimer Graph, the paper significantly contributes to both Graph Theory and Chemical Graph Theory.
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M3 - Article
AN - SCOPUS:85214317107
SN - 1992-9978
VL - 55
SP - 45
EP - 51
JO - IAENG International Journal of Applied Mathematics
JF - IAENG International Journal of Applied Mathematics
IS - 1
ER -