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Simpler Projective Plane Embedding

โœ Scribed by Wendy Myrvold; Jianping Roth


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
184 KB
Volume
5
Category
Article
ISSN
1571-0653

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Randby, Scott P. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 161 KB

We show that if G is a graph embedded on the projective plane in such a way that each noncontractible cycle intersects G at least n times and the embedding is minimal with respect to this property (i.e., the representativity of the embedding is n), then G can be reduced by a series of reduction oper

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We give various conditions on pinched-torus polyhedral maps which are necessary for their graphs to be embeddable in the projective plane. Our other main result is that even if the graph of a polyhedral map in the pinched torus is embeddable in a projective plane, the map induced by the embedding ca

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A blocking set B in a projective plane z of order n is a subset of T which meets every line but contains no line completely. Hence le)B n I] srz for every line i of 9r.I A blocking set is minimal if it contains no proper blocking set. A blocking set is maximal if it is not properly contained in any

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โœ R.C. Bose; S.S. Shrikhande ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 729 KB

A configuration D with parameters (u, b, r. k) is an incidence structure t P, B. 2 L where ? is a set of u "points'\*, 8 is a set of b '"blocks" and 7 is an 'incidence relation" between points and blocks such that each point is incident with t blocks, and each blok is incident with Fc points. A bloc