{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T16:01:38Z","timestamp":1776441698679,"version":"3.51.2"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p>Given a graph [Formula: see text], its neighbor connectivity is the least number of vertices whose deletion along with their neighbors results in a disconnected, complete, or empty graph. The edge neighbor connectivity is the least number of edges whose deletion along with their endpoints results in a disconnected, complete, or empty graph. In this paper, we determine the neighbor connectivity [Formula: see text] and the edge neighbor connectivity [Formula: see text] of the alternating group graph. We show that [Formula: see text], where [Formula: see text] is the [Formula: see text]-dimensional alternating group graph.<\/jats:p>","DOI":"10.1142\/s0219265921500146","type":"journal-article","created":{"date-parts":[[2021,7,31]],"date-time":"2021-07-31T15:53:20Z","timestamp":1627746800000},"source":"Crossref","is-referenced-by-count":9,"title":["Neighbor Connectivity of the Alternating Group Graph"],"prefix":"10.1142","volume":"21","author":[{"given":"Mohamad","family":"Abdallah","sequence":"first","affiliation":[{"name":"Department of Mathematics and Natural Sciences, American University of Kuwait, P.O. Box 3323, Safat 13034, Kuwait"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chun-Nan","family":"Hung","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Information Engineering, Da-Yeh University, Taiwan, R.O.C"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,10,12]]},"reference":[{"key":"S0219265921500146BIB001","doi-asserted-by":"publisher","DOI":"10.20429\/tag.2019.060205"},{"key":"S0219265921500146BIB002","volume-title":"Algebraic Graph Theory","author":"Biggs N.","year":"1979"},{"key":"S0219265921500146BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0219265911003003"},{"key":"S0219265921500146BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(02)00223-0"},{"key":"S0219265921500146BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2007.11.007"},{"key":"S0219265921500146BIB006","first-page":"107","volume":"59","author":"Cheng E.","year":"2001","journal-title":"ARS Combin."},{"key":"S0219265921500146BIB007","first-page":"239","volume":"115","author":"Cheng E.","year":"2014","journal-title":"ARS Combin."},{"key":"S0219265921500146BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(98)10041-3"},{"key":"S0219265921500146BIB009","first-page":"199","volume":"39","author":"Cozzens M. B.","year":"1995","journal-title":"ARS Combin."},{"key":"S0219265921500146BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2020.125237"},{"key":"S0219265921500146BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(85)90075-7"},{"key":"S0219265921500146BIB012","first-page":"285","volume-title":"Proc. 8th Manitoba Conf. Numer. Math. Comp.","author":"Gunther G.","year":"1978"},{"key":"S0219265921500146BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(80)90042-6"},{"issue":"4","key":"S0219265921500146BIB014","first-page":"827","volume":"62","author":"Hao R.-X.","year":"2012","journal-title":"IEEE Trans. Comput."},{"key":"S0219265921500146BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s10255-018-0739-9"},{"key":"S0219265921500146BIB016","doi-asserted-by":"publisher","DOI":"10.1002\/net.3230230414"},{"key":"S0219265921500146BIB017","series-title":"University Mathematical Texts","volume-title":"Introduction to the Theory of Finite Groups","author":"Ledermann R.","year":"1957"},{"key":"S0219265921500146BIB018","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.amc.2017.02.006","volume":"305","author":"Wang S.","year":"2017","journal-title":"Appl. Math. Comput."},{"key":"S0219265921500146BIB019","volume-title":"Introduction to Graph Theory","author":"West D. B.","year":"1996"},{"key":"S0219265921500146BIB020","doi-asserted-by":"publisher","DOI":"10.1109\/31.7582"},{"key":"S0219265921500146BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2014.09.041"},{"key":"S0219265921500146BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.ipl.2010.08.010"},{"key":"S0219265921500146BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2018.05.059"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265921500146","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,6]],"date-time":"2023-11-06T18:49:57Z","timestamp":1699296597000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265921500146"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9]]},"references-count":23,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["10.1142\/S0219265921500146"],"URL":"https:\/\/doi.org\/10.1142\/s0219265921500146","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"value":"0219-2659","type":"print"},{"value":"1793-6713","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,9]]},"article-number":"2150014"}}