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- Title
On total irregular labelings with no-hole weights of some planar graphs.
- Authors
Mitra, Sarbari; Bhoumik, Soumya
- Abstract
A total edge irregular k-labeling of a graph G = (V, E), ∂: V ∪ E → {1, 2, 3, ⋯, k} is a labeling of vertices and edges of G in such a way that the weights of all edges are distinct. A total edge irregularity strength of graph G, denoted by tes(G) is defined as the minimal k for which a graph G has a totally irregular total k-labeling. Analogously we can define total vertex irregularity strength of graph G, denoted by tvs(G). In this paper, we provide the no-hole total (both edge and vertex) irregularity strength for some well known planar graphs.
- Subjects
GRAPH labelings; PLANAR graphs; WEIGHTED graphs; QUADRILATERALS; SNAKES
- Publication
Discrete Mathematics & Applications, 2024, Vol 34, Issue 3, p167
- ISSN
0924-9265
- Publication type
Academic Journal
- DOI
10.1515/dma-2024-0013