On Sum Cordialness of Some Fractal Graph

For a graph G with vertex set V is a function f: V(G) →{0.1} with induced edge labeling such that f# : E(G) →{0,1} such that f# (pq) = (f(p) + f(q)) (mod 2) for all pq \(\in\) E(G) is called a sum cordial labeling, If |v(0) - v(1)|\(\le\) 1 and |e(0) - e(1)|\(\le\) 1. A graph that follows sum cordial labeling is called a sum cordial graph. We have proved that Vicsek fractal, Box fractal, Ladder Fractal Graph of Type – 1 to Type – 4 admits sum cordial labeling.

Authors

Publication Details

Journal
Asian Research Journal of Mathematics
Published
2025-10-08
DOI
https://doi.org/10.9734/arjom/2025/v21i10994
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On Sum Cordialness of Some Fractal Graph

Nishant J. Khiraiya, Mehul A. Chaurasia
Asian Research Journal of Mathematics
Graph Labeling and Dimension Problems
article

On Sum Cordialness of Some Fractal Graph

Nishant J. Khiraiya, Mehul A. Chaurasia
article en

Abstract

For a graph G with vertex set V is a function f: V(G) →{0.1} with induced edge labeling such that f# : E(G) →{0,1} such that f# (pq) = (f(p) + f(q)) (mod 2) for all pq \(\in\) E(G) is called a sum cordial labeling, If |v(0) - v(1)|\(\le\) 1 and |e(0) - e(1)|\(\le\) 1. A graph that follows sum cordial labeling is called a sum cordial graph. We have proved that Vicsek fractal, Box fractal, Ladder Fractal Graph of Type – 1 to Type – 4 admits sum cordial labeling.

Asian Research Journal of MathematicsVol. 21(10)
Openalex Percentile: Top 71%
Graph Labeling and Dimension Problems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On Sum Cordialness of Some Fractal Graph — Nishant J. Khiraiya, Mehul A. Chaurasia · Asian Research Journal of Mathematics (2025) | TGRS Research Map | TGRS