{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T18:43:34Z","timestamp":1720291414821},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2018,5,11]],"date-time":"2018-05-11T00:00:00Z","timestamp":1525996800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2018,7]]},"DOI":"10.1007\/s00373-018-1896-6","type":"journal-article","created":{"date-parts":[[2018,5,11]],"date-time":"2018-05-11T06:49:56Z","timestamp":1526021396000},"page":"579-598","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Independence Number of Cayley Digraphs of Rectangular Groups"],"prefix":"10.1007","volume":"34","author":[{"given":"Sayan","family":"Panma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nuttawoot","family":"Nupo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,5,11]]},"reference":[{"key":"1896_CR1","doi-asserted-by":"publisher","first-page":"25","DOI":"10.7151\/dmgt.1527","volume":"31","author":"G Abay-Asmerom","year":"2011","unstructured":"Abay-Asmerom, G., Hammack, R., Larson, C.E., Taylor, D.T.: Notes on the independence number in the cartesian product of graphs. Discuss. Math. Graph Theory 31, 25\u201335 (2011)","journal-title":"Discuss. Math. Graph Theory"},{"key":"1896_CR2","volume-title":"Algebraic Graph Theory","author":"N Biggs","year":"1993","unstructured":"Biggs, N.: Algebraic Graph Theory. Cambridge University Press, Cambridge (1993)"},{"key":"1896_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2","volume-title":"Graph Theory with Applications","author":"JA Bondy","year":"1976","unstructured":"Bondy, J.A., Murty, U.S.R.: Graph Theory with Applications. American Elsevier Publishing Co., Inc., New York (1976)"},{"key":"1896_CR4","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/PL00009381","volume":"20","author":"G Csizmadia","year":"1998","unstructured":"Csizmadia, G.: On the independence number of minimum distance graphs. Discrete Comput. Geom. 20, 179\u2013187 (1998)","journal-title":"Discrete Comput. Geom."},{"key":"1896_CR5","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1016\/0012-365X(90)90149-C","volume":"81","author":"AM Frieze","year":"1990","unstructured":"Frieze, A.M.: On the independence number of random graphs. Discrete Math. 81, 171\u2013175 (1990)","journal-title":"Discrete Math."},{"key":"1896_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8937-6","volume-title":"Graph Symmetry: Algebraic Methods and Applications","author":"G Hahn","year":"1997","unstructured":"Hahn, G., Sabidussi, G.: Graph Symmetry: Algebraic Methods and Applications. Kluwer Academic Publishers, The Netherlands (1997)"},{"key":"1896_CR7","first-page":"685","volume":"34","author":"Y Hao","year":"2010","unstructured":"Hao, Y., Luo, Y.: On the Cayley graphs of left (right) groups. Southeast Asian Bull. Math. 34, 685\u2013691 (2010)","journal-title":"Southeast Asian Bull. Math."},{"key":"1896_CR8","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198511946.001.0001","volume-title":"Fundamentals of Semigroup Theory","author":"JM Howie","year":"1995","unstructured":"Howie, J.M.: Fundamentals of Semigroup Theory. Clarendon Press, Oxford (1995)"},{"key":"1896_CR9","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/S0195-6698(02)00120-8","volume":"24","author":"AV Kelarev","year":"2003","unstructured":"Kelarev, A.V., Praeger, C.E.: On transitive Cayley graphs of groups and semigroups. Eur. J. Combin. 24, 59\u201372 (2003)","journal-title":"Eur. J. Combin."},{"key":"1896_CR10","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/s002330010162","volume":"66","author":"AV Kelarev","year":"2003","unstructured":"Kelarev, A.V., Quinn, S.J.: A combinatorial property and Cayley graphs of semigroups. Semigroup Forum 66, 89\u201396 (2003)","journal-title":"Semigroup Forum"},{"key":"1896_CR11","doi-asserted-by":"publisher","first-page":"804","DOI":"10.1016\/j.disc.2009.09.015","volume":"310","author":"B Khosravi","year":"2010","unstructured":"Khosravi, B., Mahmoudi, M.: On Cayley graphs of rectangular groups. Discrete Math. 310, 804\u2013811 (2010)","journal-title":"Discrete Math."},{"key":"1896_CR12","first-page":"745","volume":"35","author":"B Khosravi","year":"2009","unstructured":"Khosravi, B.: On Cayley graphs of left groups. Houston J. Math. 35, 745\u2013755 (2009)","journal-title":"Houston J. Math."},{"key":"1896_CR13","doi-asserted-by":"publisher","DOI":"10.1515\/9783110255096","volume-title":"Algebraic Graph Theory","author":"U Knauer","year":"2011","unstructured":"Knauer, U.: Algebraic Graph Theory. W. de Gruyter, Berlin (2011)"},{"key":"1896_CR14","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/j.disc.2004.08.030","volume":"293","author":"N Lichiardopol","year":"2005","unstructured":"Lichiardopol, N.: Independence number of iterated line digraphs. Discrete Math. 293, 185\u2013193 (2005)","journal-title":"Discrete Math."},{"key":"1896_CR15","first-page":"29","volume":"39","author":"J Meksawang","year":"2016","unstructured":"Meksawang, J., Panma, S.: Isomorphism conditions for Cayley graphs of rectangular groups. Bull. Malays. Math. Sci. Soc. 39, 29\u201341 (2016)","journal-title":"Bull. Malays. Math. Sci. Soc."},{"key":"1896_CR16","first-page":"535","volume":"8","author":"S Panma","year":"2010","unstructured":"Panma, S.: Characterization of Cayley graphs of rectangular groups. Thai J. Math. 8, 535\u2013543 (2010)","journal-title":"Thai J. Math."},{"key":"1896_CR17","first-page":"183","volume":"2","author":"S Panma","year":"2004","unstructured":"Panma, S., Knauer, U., Arworn, Sr: On transitive Cayley graphs of right (left) groups and of Clifford semigroups. Thai J. Math. 2, 183\u2013195 (2004)","journal-title":"Thai J. Math."},{"key":"1896_CR18","doi-asserted-by":"publisher","first-page":"5393","DOI":"10.1016\/j.disc.2008.11.038","volume":"309","author":"S Panma","year":"2009","unstructured":"Panma, S., Knauer, U., Arworn, Sr: On transitive Cayley graphs of strong semilattice of right (left) groups. Discrete Math. 309, 5393\u20135403 (2009)","journal-title":"Discrete Math."},{"key":"1896_CR19","unstructured":"Panma, S.: On transitive Cayley graphs of strong semilattice of some completely simple semigroups. Doctoral thesis, Chiang Mai University (2007)"},{"key":"1896_CR20","first-page":"561","volume":"80","author":"M Ruangnai","year":"2012","unstructured":"Ruangnai, M., Panma, S., Arworn, Sr: On Cayley isomorphisms of left and right groups. Int. J. Pure Appl. Math. 80, 561\u2013571 (2012)","journal-title":"Int. J. Pure Appl. Math."},{"key":"1896_CR21","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1016\/0012-365X(93)90307-F","volume":"122","author":"SM Selkow","year":"1993","unstructured":"Selkow, S.M.: The independence number of graphs in terms of degrees. Discrete Math. 122, 343\u2013348 (1993)","journal-title":"Discrete Math."}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00373-018-1896-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-1896-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-1896-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,6]],"date-time":"2024-07-06T18:01:41Z","timestamp":1720288901000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00373-018-1896-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,11]]},"references-count":21,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,7]]}},"alternative-id":["1896"],"URL":"https:\/\/doi.org\/10.1007\/s00373-018-1896-6","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"value":"0911-0119","type":"print"},{"value":"1435-5914","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,11]]},"assertion":[{"value":"14 September 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 January 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 May 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}