The total vertex irregularity strength of symmetric cubic graphs of the Foster's Census
نویسندگان
چکیده
<p>Foster (1932) performed a mathematical census for all connected symmetric cubic (trivalent) graphs of order <em>n</em> with <em>n </em>≤ 512. This then was continued by Conder et al. (2006) and they obtained the complete list ≤ 768. In this paper, we determine total vertex irregularity strength such Foster. As result, values strengths from Foster strengthen conjecture stated Nurdin, Baskoro, Gaos &amp; Salman (2010), namely ⌈(<em>n</em>+3)/4⌉.</p>
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ژورنال
عنوان ژورنال: Indonesian journal of combinatorics
سال: 2022
ISSN: ['2541-2205']
DOI: https://doi.org/10.19184/ijc.2022.6.2.3