{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,9]],"date-time":"2025-01-09T05:31:09Z","timestamp":1736400669573,"version":"3.32.0"},"reference-count":0,"publisher":"Combinatorial Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ars Comb."],"published-print":{"date-parts":[[2024,12,31]]},"abstract":"<jats:p>Let \\( G \\) be a graph, the zero forcing number \\( Z(G) \\) is the minimum of \\( |Z| \\) over all zero forcing sets \\( Z \\subseteq V(G) \\). In this paper, we are interested in studying the zero forcing number of quartic circulant graphs \\( C_{p}\\left(s,t\\right) \\), where \\( p \\) is an odd prime. Based on the fact that \\( C_{p}\\left(s,t\\right) \\cong C_{p}\\left(1,q\\right) \\), we give the exact values of the zero forcing number of some specific quartic circulant graphs.<\/jats:p>","DOI":"10.61091\/ars161-01","type":"journal-article","created":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T19:49:55Z","timestamp":1736365795000},"page":"3-16","source":"Crossref","is-referenced-by-count":0,"title":["The Zero Forcing Number of Quartic Circulant Graphs of Prime Order"],"prefix":"10.61091","volume":"161","author":[{"name":"School of Mathematics and Statistics Shandong University of Technology, Zibo, China","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huixian","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guang","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"School of Mathematics and Statistics Shandong University of Technology, Zibo, China","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shengjin","family":"Ji","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"name":"School of Mathematics and Statistics Shandong University of Technology, Zibo, China","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"39747","published-online":{"date-parts":[[2024,12,31]]},"container-title":["Ars Combinatoria"],"original-title":[],"deposited":{"date-parts":[[2025,1,8]],"date-time":"2025-01-08T19:50:08Z","timestamp":1736365808000},"score":1,"resource":{"primary":{"URL":"https:\/\/combinatorialpress.com\/ars-articles\/volume-161\/the-zero-forcing-number-of-quartic-circulant-graphs-of-prime-order\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,31]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,12,31]]},"published-print":{"date-parts":[[2024,12,31]]}},"URL":"https:\/\/doi.org\/10.61091\/ars161-01","relation":{},"ISSN":["0381-7032","2817-5204"],"issn-type":[{"value":"0381-7032","type":"print"},{"value":"2817-5204","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,31]]}}}