On smallest 3-polytopes of given graph radius

نویسندگان

چکیده

The 3-polytopes are planar, 3-connected graphs. A classical question is, given r≥3, is the 2(r−1)-gonal prism K2×C2(r−1) unique 3-polytope of graph radius r and smallest size? Under some extra assumptions, we answer this in positive.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2023

ISSN: ['1872-681X', '0012-365X']

DOI: https://doi.org/10.1016/j.disc.2023.113322