Face irregular evaluations of family of grids
Let [Formula: see text] be a connected plane graph. Let [Formula: see text] be a k-labeling where [Formula: see text] and [Formula: see text]. The weight of a face f under ρ is defined as [Formula: see text]. Then ρ is called a face irregular labeling of type [Formula: see text] if [Formula: see tex...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-01-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2024.2368126 |
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| Summary: | Let [Formula: see text] be a connected plane graph. Let [Formula: see text] be a k-labeling where [Formula: see text] and [Formula: see text]. The weight of a face f under ρ is defined as [Formula: see text]. Then ρ is called a face irregular labeling of type [Formula: see text] if [Formula: see text] for any two faces [Formula: see text]. The face irregular strength of G is the smallest integer k such that G admits a face irreg ular k-labeling. In this paper we determine the face irregular strength of the grid graph [Formula: see text] under a labeling of type [Formula: see text]. |
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| ISSN: | 0972-8600 2543-3474 |