{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T20:33:27Z","timestamp":1769718807851,"version":"3.49.0"},"reference-count":17,"publisher":"SAGE Publications","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,11,4]]},"abstract":"<jats:p>The attractive properties of the hypercube graph such as its diameter, good connectivity, and symmetry have made it a popular topology for the design of multi-computer interconnection networks. Efforts to improve some of these properties have led to the evolution of hypercube variants. Let c be the proper coloring of graph G, where the neighboring vertices will get individual colors. Coloring c is irregular if distinct vertices have distinct color codes and the least number of colors that ought to receive an irregular coloring is the irregular chromatic number, \u03c7ir\u00a0(G). In this paper, we discuss the irregular coloring and find the irregular chromatic number for the hypercube graph Qn and some of its variants using binomial coefficients for the Locally twisted cube graph LTQn, Crossed cube graph CQn and two types of Fractal cubic network graph FCNG1\u00a0(k) and FCNG2\u00a0(k).<\/jats:p>","DOI":"10.3233\/jifs-232471","type":"journal-article","created":{"date-parts":[[2023,9,12]],"date-time":"2023-09-12T13:37:12Z","timestamp":1694525832000},"page":"8907-8913","source":"Crossref","is-referenced-by-count":1,"title":["Irregular chromatic number for hypercube graph and its variants"],"prefix":"10.1177","volume":"45","author":[{"given":"S.","family":"Shyama","sequence":"first","affiliation":[{"name":"Department of Mathematics, Amrita School of Physical Sciences, Kochi, Amrita Vishwa Vidyapeetham, India"}]},{"given":"Radha R.","family":"Iyer","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-232471_ref1","first-page":"32","article-title":"Redefining Fractal Cubic Networks and Determining Their Metric Dimension and Fault-Tolerent Metric Dimension","volume":"18","author":"Arulperumjothi","year":"2015","journal-title":"International Journal"},{"issue":"11","key":"10.3233\/JIFS-232471_ref2","first-page":"9599","article-title":"Irregular coloring of some special graphs","volume":"9","author":"Audainayaki","year":"2020","journal-title":"Advances in Mathematics: Scientific Journal"},{"key":"10.3233\/JIFS-232471_ref3","unstructured":"Combinations with Repetition on dCode.fr [online website], retrieved on 2023-04-10, https:\/\/www.dcode.fr\/combinations-with-repetitions"},{"issue":"05","key":"10.3233\/JIFS-232471_ref4","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1109\/71.159036","article-title":"The crossed cube architecture for parallel computation","volume":"3","author":"Efe","year":"1992","journal-title":"IEEE Transactions on Parallel & Distributed Systems"},{"issue":"4","key":"10.3233\/JIFS-232471_ref5","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0898-1221(88)90213-1","article-title":"A survey of the theory of hypercube graphs","volume":"15","author":"Harary","year":"1988","journal-title":"Computers & Mathematics with Applications"},{"key":"10.3233\/JIFS-232471_ref6","doi-asserted-by":"crossref","DOI":"10.1201\/9781420044829","volume-title":"Graph theory and interconnection networks","author":"Hsu","year":"2008"},{"issue":"1","key":"10.3233\/JIFS-232471_ref7","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1080\/09720529.2021.2006264","article-title":"Irregular Colorings of Certain Classes of Corona Product and Sierpinski Graphs","volume":"25","author":"Iyer","year":"2022","journal-title":"J Discret Math Sci Cryptogr"},{"issue":"1","key":"10.3233\/JIFS-232471_ref8","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.jestch.2014.09.004","article-title":"A new hypercube variant: fractal cubic network graph","volume":"18","author":"Karci","year":"2015","journal-title":"Engineering Science and Technology, an International Journal"},{"key":"10.3233\/JIFS-232471_ref9","doi-asserted-by":"crossref","unstructured":"Kung T.L. , Lin C.K. and Hung C.N. , On the Neighborhood-Connectivity of Locally Twisted Cube Networks. 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