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By exhibiting this structure we indirectly characterize graphs on the projective plane whose dual graphs are planar. Whitney's Theorem about 2-switching equivalence of planar embeddings is generalized: Any two embeddings of a planar graph in the projective plane can be obtained from each other by ...
The aims of this paper are to classify the group action on a projective plane PG(2, q), when q(2) + q + 1 is not a prime, and then describe the geometry of these orbits with values of q = 43, 47, 49. Investigate partitions of PG(2, q) with q = 49, into subgeometries ...
Consequently (unlike too many textbooks) there is little for the student to unlearn when he goes on to more advanced cour... (展开全部) 我来说两句 短评 ··· 热门 还没人写过短评呢 我要写书评 The Methods of Plane Projective Geometry Based on the Use of General Homogenous Coordinates...
And further, he characterizes another class of graphs constructed from a finite projective plane (P,L) as follows: the set of vertices is the union of P and L and two vertices are not joined to each other whenever they correspond to a pair of point and line that are not incident. The...
Some New Surfaces of General Type In part I, the author constructs examples of surfaces of general type with positive topological indices, which are cyclic branched coverings of elliptic modular surfaces of level N ramified over the N 2 sections giving the level structur... M Inoue - 《Tokyo...
Embeddings of Circular graph C(2n 1, 2)(n ≥ 2) on the Projective Plane International Journal of Mathematical CombinatoricsXinqiu LiuYuanqiu HuangJing Wang
We show that all the possible pairs of integers occur as exponents for free or nearly free irreducible plane curves and line arrangements, by producing only two types of simple families of examples. The topology of the complements of these curves and line arrangements is also discussed, and many...
Both the circulant graph and the generalized Petersen graph are important types of graphs in graph theory. In this paper, the structures of embeddings of circulant graph C (2 n + 1; {1, n }) on the projective plane are described, the number of embeddings of C (2 n + 1; {1, n ...
This paper presents a generalization of the third theorem to the projective plane, allowing a straightforward adaptation of the planar algorithm to the projective plane. Gary Miller has subsequently generalized my result to surfaces of arbitrary genus, so that there is now a graph isomorphism algorith...