Local Structures in Polyhedral Maps on Surfaces, and Path Transferability of Graphs
نویسنده
چکیده
We extend Jendrol’ and Skupień’s results about the local structure of maps on the 2-sphere: In this paper we show that if a polyhedral map G on a surface M of Euler characteristic χ(M) ≤ 0 has more than 126|χ(M)| vertices, then G has a vertex with ”nearly” non-negative combinatorial curvature. As a corollary of this, we can deduce that path transferability of such graphs are at most 12. keyword 1. Polyhedral maps, Embedding, Light vertex, Combinatorial curvature, Path transferability
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