Note on the group edge irregularity strength of graphs

Marcin Anholcer , Sylwia Cichacz

Abstract

We investigate the group edge irregularity strength (esg(G)) of graphs, i.e. the smallest value of s such that taking any Abelian group of order s, there exists a function such that the sums of vertex labels at every edge are distinct. In this note we provide some the upper bounds on esg(G) as well as for edge irregularity strength es(G) and harmonious order har(G).
Author Marcin Anholcer (WIiGE / KBO)
Marcin Anholcer,,
- Department of Operations Research
, Sylwia Cichacz - AGH University of Science and Technology (AGH), MNiSW [80]
Sylwia Cichacz,,
-
Journal seriesApplied Mathematics and Computation, ISSN 0096-3003, e-ISSN 1873-5649, (N/A 100 pkt)
Issue year2019
Vol350
No1
Pages237-241
Publication size in sheets0.5
Keywords in PolishGrupowa krawędziowa siła nieregularności; rząd harmoniczny; grupa abelowa
Keywords in EnglishGroup edge irregularity strenght; Harmonious order; Abelian group
ASJC Classification2604 Applied Mathematics; 2605 Computational Mathematics
DOIDOI:10.1016/j.amc.2019.01.007
URL https://www.sciencedirect.com/science/article/abs/pii/S0096300319300153
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 02-04-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.544; WoS Impact Factor: 2018 = 3.092 (2) - 2018=2.429 (5)
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