{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T10:40:35Z","timestamp":1723113635983},"reference-count":0,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":1826,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["VLSI Design"],"published-print":{"date-parts":[[1995,1]]},"abstract":"We derive some properties of the star graph in this paper. In particular, we compute the number of nodes at distance i<\/jats:italic>\nfrom a fixed node e<\/jats:italic> in a star graph. To this end, a recursive formula is first obtained. This recursive formula is,\nin general, hard to solve for a closed form solution. We then study the relations among the number of nodes at\ndistance i<\/jats:italic> to node e<\/jats:italic> in star graphs of different dimensions. This study reveals a very interesting relation among\nthese numbers, which leads to a simple homogeneous linear recursive formula whose characteristic equation is\neasy to solve. Thus, we get a systematic way to obtain a closed form solution with given initial conditions for any\nfixed i<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/1995\/61390","type":"journal-article","created":{"date-parts":[[2007,9,18]],"date-time":"2007-09-18T12:56:35Z","timestamp":1190120195000},"page":"389-396","source":"Crossref","is-referenced-by-count":21,"title":["On Some Properties of the Star Graph"],"prefix":"10.1155","volume":"2","author":[{"given":"Ke","family":"Qiu","sequence":"first","affiliation":[]},{"given":"Selim G.","family":"Akl","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[1995,1]]},"container-title":["VLSI Design"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1995\/061390.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/vlsi\/1995\/061390.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/1995\/61390","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T09:42:59Z","timestamp":1723110179000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/1995\/61390"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["10.1155\/1995\/61390"],"URL":"https:\/\/doi.org\/10.1155\/1995\/61390","archive":["Portico"],"relation":{},"ISSN":["1065-514X","1563-5171"],"issn-type":[{"type":"print","value":"1065-514X"},{"type":"electronic","value":"1563-5171"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}