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Basics About Graphs

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Book cover Points and Lines

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Abstract

A review of basic concepts of simple graphs introduces the important notion of a strongly gated subgraph. Graph morphisms, along with a theory of universal covers, are described. For any collection C of circuits in a connected graph, there exists a universal C-cover defined by C-homotopy classes of paths emanating from a fixed base vertex. Among criteria for simple C-connectedness, one of these, due to J. Tits, will play a role in Chap. 10.

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References

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Authors and Affiliations

  1. Kansas State University, Denison Avenue 419, Manhattan, KS, 66502, USA

    Ernest E. Shult

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  1. Ernest E. Shult
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Correspondence to Ernest E. Shult .

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© 2011 Springer-Verlag Berlin Heidelberg

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Shult, E.E. (2011). Basics About Graphs. In: Points and Lines. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15627-4_1

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