𝔖 Bobbio Scriptorium
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Polyhedral 2-manifolds inE3with unusually large genus

✍ Scribed by P. McMullen; Ch. Schulz; J. M. Wills


Book ID
112885375
Publisher
The Hebrew University Magnes Press
Year
1983
Tongue
English
Weight
695 KB
Volume
46
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Subgraphs with Restricted Degrees of the
✍ S. Jendrol’; H.-J. Voss πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 276 KB

Let k β‰₯ 2, be an integer and M be a closed two-manifold with Euler characteristic Ο‡(M) ≀ 0. We prove that each polyhedral map G on M, which has at least (8k 2 + 6k -6)|Ο‡ (M)| vertices, contains a connected subgraph H of order k such that every vertex of this subgraph has, in G, the degree at most 4k