{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T00:53:35Z","timestamp":1781312015190,"version":"3.54.1"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,1,17]],"date-time":"2024-01-17T00:00:00Z","timestamp":1705449600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,17]],"date-time":"2024-01-17T00:00:00Z","timestamp":1705449600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001332","name":"CSIR","doi-asserted-by":"crossref","award":["CSIR-Award no:09\/382(0229)\/2019-EMR-I"],"award-info":[{"award-number":["CSIR-Award no:09\/382(0229)\/2019-EMR-I"]}],"id":[{"id":"10.13039\/501100001332","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s12190-023-01967-4","type":"journal-article","created":{"date-parts":[[2024,1,17]],"date-time":"2024-01-17T18:01:43Z","timestamp":1705514503000},"page":"619-637","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The chromatic polynomial of grid graph $$P_3 \\square P_n$$"],"prefix":"10.1007","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0323-1907","authenticated-orcid":false,"given":"Renu","family":"Yadav","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Amit","family":"Sehgal","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sarita","family":"Sehgal","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Archana","family":"Malik","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,1,17]]},"reference":[{"key":"1967_CR1","doi-asserted-by":"publisher","first-page":"42","DOI":"10.2307\/1967597","volume":"14","author":"GD Birkhoff","year":"1912","unstructured":"Birkhoff, G.D.: A determinant formula for the number of ways of coloring a map. Ann. Math. 14, 42\u201346 (1912)","journal-title":"Ann. Math."},{"key":"1967_CR2","doi-asserted-by":"publisher","first-page":"688","DOI":"10.2307\/1968214","volume":"33","author":"H Whitney","year":"1932","unstructured":"Whitney, H.: The colorings of graphs. Ann. Math. 33, 688\u2013718 (1932)","journal-title":"Ann. Math."},{"issue":"1","key":"1967_CR3","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1016\/S0021-9800(68)80087-0","volume":"4","author":"RC Read","year":"1968","unstructured":"Read, R.C.: An introduction to chromatic polynomials. J. Comb. Theory 4(1), 52\u201371 (1968)","journal-title":"J. Comb. Theory"},{"issue":"1","key":"1967_CR4","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1006\/jctb.2000.2017","volume":"82","author":"N Biggs","year":"2001","unstructured":"Biggs, N.: A matrix method for chromatic polynomials. J. Comb. Theory Ser. B 82(1), 19\u201329 (2001)","journal-title":"J. Comb. Theory Ser. B"},{"key":"1967_CR5","doi-asserted-by":"publisher","DOI":"10.1142\/5814","volume-title":"Chromatic Polynomials and Chromaticity of Graphs","author":"FM Dong","year":"2005","unstructured":"Dong, F.M., Koh, K.M., Teo, K.L.: Chromatic Polynomials and Chromaticity of Graphs. World Scientific, Singapore (2005)"},{"issue":"2","key":"1967_CR6","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1016\/j.jctb.2008.09.005","volume":"99","author":"C Thomassen","year":"2009","unstructured":"Thomassen, C.: The chromatic polynomial and list colorings. J. Comb. Theory Ser. B 99(2), 474\u2013479 (2009)","journal-title":"J. Comb. Theory Ser. B"},{"key":"1967_CR7","first-page":"15","volume":"3","author":"RC Read","year":"1988","unstructured":"Read, R.C., Tutte, W.T.: Chromatic polynomials. Sel. Top. Graph Theory 3, 15\u201342 (1988)","journal-title":"Sel. Top. Graph Theory"},{"issue":"11","key":"1967_CR8","first-page":"914","volume":"2","author":"BR Srinivas","year":"2014","unstructured":"Srinivas, B.R., Chaitanya, A.S.K.: The chromatic polynomials and its algebraic properties. Int. J. Sci. Innov. Math. Res. 2(11), 914\u2013922 (2014)","journal-title":"Int. J. Sci. Innov. Math. Res."},{"issue":"2","key":"1967_CR9","first-page":"00","volume":"28","author":"AR Nizami","year":"2016","unstructured":"Nizami, A.R., Munir, M., Khan, A.S., Shahzadi, Z.: On chromaticity of ladder-type graphs. Sci. Int. 28(2), 00\u201300 (2016)","journal-title":"Sci. Int."},{"issue":"15","key":"1967_CR10","doi-asserted-by":"publisher","first-page":"5241","DOI":"10.1088\/0305-4470\/20\/15\/037","volume":"20","author":"RJ Baxter","year":"1987","unstructured":"Baxter, R.J.: Chromatic polynomials of large triangular lattices. J. Phys. A Math. Gen. 20(15), 5241 (1987)","journal-title":"J. Phys. A Math. Gen."},{"key":"1967_CR11","doi-asserted-by":"publisher","DOI":"10.1201\/b10959","volume-title":"Handbook of Product Graphs","author":"R Hammack","year":"2011","unstructured":"Hammack, R., Imrich, W., Klav\u017ear, S.: Handbook of Product Graphs. CRC Press, Boca Raton (2011)"},{"key":"1967_CR12","unstructured":"Weisstein, E.W.: Chromatic Polynomial. From MathWorld\u2014A Wolfram Web Resource. https:\/\/mathworld.wolfram.com\/ChromaticPolynomial.html"},{"key":"1967_CR13","volume-title":"Selected Topics in Graph Theory","author":"WB Lowell","year":"1978","unstructured":"Lowell, W.B., Robin, J.W.: Selected Topics in Graph Theory, vol. 3. Academic Press, London (1978)"},{"key":"1967_CR14","unstructured":"Perrett, T.: Chromatic Polynomial Calculator. GitHub, United States (2021). https:\/\/tjperr.github.io\/chromatic-polynomial\/"}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-023-01967-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12190-023-01967-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-023-01967-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,6]],"date-time":"2024-02-06T13:25:03Z","timestamp":1707225903000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12190-023-01967-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,17]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["1967"],"URL":"https:\/\/doi.org\/10.1007\/s12190-023-01967-4","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"value":"1598-5865","type":"print"},{"value":"1865-2085","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,17]]},"assertion":[{"value":"8 November 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 December 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 December 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 January 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no conflict of interest over any aspect.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}]}}