{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:22:52Z","timestamp":1753885372350,"version":"3.41.2"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,8]]},"abstract":"<jats:p> Let [Formula: see text] be a simple, finite, undirected, and connected graph with vertex set [Formula: see text] and edge set [Formula: see text]. A bijection [Formula: see text] is label function [Formula: see text] if [Formula: see text] and for any two adjacent vertices [Formula: see text] and [Formula: see text], [Formula: see text] where [Formula: see text] and [Formula: see text] is set of vertices adjacent to [Formula: see text]. [Formula: see text] is called local irregularity vertex coloring. The minimum cardinality of local irregularity vertex coloring of [Formula: see text] is called chromatic number local irregular denoted by [Formula: see text]. In this paper, we verify the exact values of volcano, broom, parachute, double broom and complete multipartite graphs. <\/jats:p>","DOI":"10.1142\/s1793830922500227","type":"journal-article","created":{"date-parts":[[2021,10,29]],"date-time":"2021-10-29T09:02:52Z","timestamp":1635498172000},"source":"Crossref","is-referenced-by-count":0,"title":["On the local irregularity vertex coloring of volcano, broom, parachute, double broom and complete multipartite graphs"],"prefix":"10.1142","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6556-6377","authenticated-orcid":false,"given":"Arika Indah","family":"Kristiana","sequence":"first","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Jalan Kalimantan, No. 37 Kampus Tegal Boto, Jember 68121, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nafidatun","family":"Nikmah","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Jalan Kalimantan, No. 37 Kampus Tegal Boto, Jember 68121, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Dafik","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, University of Jember, Jalan Kalimantan, No. 37 Kampus Tegal Boto, Jember 68121, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ridho","family":"Alfarisi","sequence":"additional","affiliation":[{"name":"Department of Primary School, University of Jember, Jalan Kalimantan, No. 37 Kampus Tegal Boto, Jember 68121, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. 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