Radio Labelings and Antipodal Labelings of Trees with Order Up to Eight

Zheng, Jialin

doi:10.1166/jctn.2016.4877

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2023

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“…Radio labeling and antipodal labeling of trees with orders up to eight were obtained by Zheng [20]. The multi-level labeling of generalized Petersen graphs P (4k + 2, 2) related graphs was investigated by Kang et al [21].…”

Section: Introductionmentioning

confidence: 99%

Radio Antipodal Labeling of Mongolian Tent and Torus Grid Graphs

Gomathi,

Venugopal,

Jose

2023

Ars Comb.

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An antipodal labeling is a function f from the vertices of G to the set of natural numbers such that it satisfies the condition d ( u , v ) + | f ( u ) – f ( v ) | ≥ d , where d is the diameter of G and d ( u , v ) is the shortest distance between every pair of distinct vertices u and v of G . The span of an antipodal labeling f is s p ( f ) = max { | f ( u ) – f ( v ) | : u , v ∈ V ( G ) } . The antipodal number of~G, denoted by~an(G), is the minimum span of all antipodal labeling of~G. In this paper, we determine the antipodal number of Mongolian tent and Torus grid.

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Section: Introductionmentioning

confidence: 99%