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Characterization of projective graphs

✍ Scribed by Alan P Sprague


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
388 KB
Volume
24
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


An algebraic characterization of project
✍ Lowell Abrams; Daniel C. Slilaty πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 114 KB

## Abstract We give a detailed algebraic characterization of when a graph __G__ can be imbedded in the projective plane. The characterization is in terms of the existence of a dual graph __G__\* on the same edge set as __G__, which satisfies algebraic conditions inspired by homology groups and inte

4-chromatic projective graphs
✍ Youngs, D. A. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 464 KB

We construct a family of 4-chromatic graphs which embed on the projective plane, and characterize the edge-critical members. The family includes many well known graphs, and also a new sequence of graphs, which serve to improve Gallai's bound on the length of the shortest odd circuit in a 4-chromatic

Note on projective graphs
✍ Tomasz Łuczak; Jaroslav NeΕ‘etΕ™il πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 69 KB

## Abstract We show that all graphs with a simple extension property are projective. As a consequence of this result we settle in the affirmative a conjecture of Larose and Tardif and characterize all homogeneous graphs which are projective. Β© 2004 Wiley Periodicals, Inc. J Graph Theory 47: 81–86,

Graphs with Projective Linear Stabilizer
✍ K. Ching πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 227 KB

We investigate the structure of the free amalgamated product P 1 \* P 1 ∩P 2 P 2 in which P 1 and P 2 are isomorphic projective linear groups and P 1 ∩ P 2 is a one-point stabilizer in the natural action of P i on the points of a projective space of dimension n β‰₯ 2. We apply the results to graphs ad

Enumeration of projective-planar embeddi
✍ Seiya Negami πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 562 KB

It will be shown that the number of equivalence classes of embeddings of a 3-connected nonplanar graph into a projective plane coincides with the number of isomorphism classes of planar double coverings of the graph and a combinatorial method to determine the number will be developed.

Computing the orientable genus of projec
✍ J. R. Fiedler; J. P. Huneke; R. B. Richter; N. Robertson πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 603 KB

## Abstract The orientable genus is determined for any graph that embeds into the projective plane, Ξ£, to be essentially half of the representativity of any embedding into Ξ£. In addition, a structure is given for any 3‐connected projective planar graph as the union of a spanning planar graph and a