{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:09:25Z","timestamp":1753884565571,"version":"3.41.2"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"name":"National Natural Science Foundation of Xinjiang","award":["2021D01A65"],"award-info":[{"award-number":["2021D01A65"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11661077"],"award-info":[{"award-number":["11661077"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2022,3]]},"abstract":"<jats:p> Let [Formula: see text] be a simple strongly connected digraph and let Aut[Formula: see text] be an automorphism of [Formula: see text]. For [Formula: see text], the set [Formula: see text] is called an orbit of Aut[Formula: see text]. In this paper, first, we show that if [Formula: see text] is a 2-regular strongly connected digraph with two orbits then [Formula: see text], if [Formula: see text] is a [Formula: see text]-regular strongly connected digraph with two orbits and [Formula: see text] [Formula: see text], then [Formula: see text]. Second, we prove that if [Formula: see text], then [Formula: see text]. Last, we characterize the arc atoms of 3-regular strongly connected digraphs with two orbits and [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0219265921420238","type":"journal-article","created":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T08:25:27Z","timestamp":1646123127000},"source":"Crossref","is-referenced-by-count":0,"title":["The Arc-Connectivity of 3-Regular Digraphs with Two Orbits"],"prefix":"10.1142","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4343-3669","authenticated-orcid":false,"given":"Xing","family":"Chen","sequence":"first","affiliation":[{"name":"Xinjiang Institute of Engineering, Urumqi, Xinjiang 830091, P. R. China"}]},{"given":"Dongyang","family":"Xie","sequence":"additional","affiliation":[{"name":"State Grid Changji Electric Power Supply Company, Changji, Xinjiang 831100, P. R. China"}]},{"given":"Yongsheng","family":"Jiang","sequence":"additional","affiliation":[{"name":"Xinjiang Institute of Engineering, Urumqi, Xinjiang 830091, P. R. China"}]},{"given":"Nannan","family":"Fan","sequence":"additional","affiliation":[{"name":"Xinjiang Institute of Engineering, Urumqi, Xinjiang 830091, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2022,2,25]]},"reference":[{"key":"S0219265921420238BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2"},{"volume-title":"Graphs and Digraphs","year":"1996","author":"Chartrand G.","key":"S0219265921420238BIB002"},{"key":"S0219265921420238BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(95)00097-B"},{"key":"S0219265921420238BIB004","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190170105"},{"key":"S0219265921420238BIB005","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190160603"},{"key":"S0219265921420238BIB006","first-page":"1253","volume":"284","author":"Hamidoune Y. 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