{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T13:40:40Z","timestamp":1740058840312,"version":"3.37.3"},"reference-count":0,"publisher":"IOS Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"abstract":"<jats:p>Let &amp;chi;i&amp;lpar;G&amp;rpar; denote the incidence coloring number of a graph G. In this paper, we study the incidence coloring on generalized Petersen graphs GP&amp;lpar;n,k&amp;rpar;. We first assure that 4&amp;le;&amp;chi;i&amp;lpar;GP&amp;lpar;n,k&amp;rpar;&amp;rpar;&amp;le;5. Furthermore, we provide the following results: (i) &amp;chi;i&amp;lpar;GP&amp;lpar;n,k&amp;rpar;&amp;rpar;=5 if n is odd, (ii) &amp;chi;i&amp;lpar;GP&amp;lpar;n,2&amp;rpar;&amp;rpar;=5, and (iii) &amp;chi;i&amp;lpar;GP&amp;lpar;n,k&amp;rpar;&amp;rpar;=4 if n&amp;equiv;0&amp;lpar;mod 4&amp;rpar; and k is odd.<\/jats:p>","DOI":"10.3233\/978-1-61499-484-8-85","type":"book-chapter","created":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T12:06:08Z","timestamp":1740053168000},"source":"Crossref","is-referenced-by-count":0,"title":["Some Results of Incidence Coloring on Generalized Petersen Graphs"],"prefix":"10.3233","author":[{"family":"Ding Kun-Fu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Pai Kung-Jui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Chang Jou-Ming","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Tsaur Rueiher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Intelligent Systems and Applications"],"original-title":[],"deposited":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T12:58:24Z","timestamp":1740056304000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.medra.org\/servlet\/aliasResolver?alias=iospressISSNISBN&issn=0922-6389&volume=274&spage=85"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/978-1-61499-484-8-85","relation":{},"ISSN":["0922-6389"],"issn-type":[{"value":"0922-6389","type":"print"}],"subject":[],"published":{"date-parts":[[2015]]}}}