Abstract
In this paper we study subdivision from a graph-theoretic point of view. In particular, we study the chromatic numbers of subdivision meshes, that is the number of distinct colors we need for a vertex, face or edge coloring of a subdivision mesh. We show that, unlike the size, the chromatic numbers of subdivision meshes are not larger than the corresponding chromatic numbers of the initial mesh and sometimes are even smaller.
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Ivrissimtzis, I., Seidel, HP. (2003). Combinatorial Properties of Subdivision Meshes. In: Wilson, M.J., Martin, R.R. (eds) Mathematics of Surfaces. Lecture Notes in Computer Science, vol 2768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39422-8_6
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DOI: https://doi.org/10.1007/978-3-540-39422-8_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20053-6
Online ISBN: 978-3-540-39422-8
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