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
- Nishant J. Khiraiya
- Mehul A. Chaurasia
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