In:
Journal of Mathematics, Hindawi Limited, Vol. 2022 ( 2022-11-28), p. 1-8
Abstract:
This article comprises of exact valuation of a graph parameter, known as the edge irregularity strength EIS , symbolized as eis G , of various graphical families such as middle graph of path graph, middle graph of cycle graph, snake graph (string 2), paramedian ladder, and complete m -partite graphs. If δ : V ⟶ 1,2 , … , p is a function defined on vertices of a graph that helps to determine different weights for every pair of edges, the least value of p is the target. Thus, addition operation for allocated to vertices of an edge, i.e., δ v i + δ v j , i ≠ j = 1,2 , … , n , defines the weight w δ v i v j of corresponding edge for every v i v j ∈ E . If two different edges e i and e j in graph G carry weights in different manner, i.e., w δ e i ≠ w δ e i for i ≠ j . Then the edge irregular p -labeling is defined after a vertex p -labeling of G . After establishing various novel results and making some conclusions, an open problem is mentioned in the end.
Type of Medium:
Online Resource
ISSN:
2314-4785
,
2314-4629
DOI:
10.1155/2022/3230932
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2022
detail.hit.zdb_id:
2717090-1
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