Abstract
The study of infinite graphs is an attractive, but often neglected, part of graph theory. This chapter aims to give an introduction that starts gently, but then moves on in several directions to display both the breadth and some of the depth that this field has to offer. Our overall theme will be to highlight the typical kinds of phenomena that will always appear when graphs are infinite, and to show how they can lead to deep and fascinating problems.
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© 2017 Reinhard Diestel
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Diestel, R. (2017). Infinite Graphs. In: Graph Theory. Graduate Texts in Mathematics, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53622-3_8
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DOI: https://doi.org/10.1007/978-3-662-53622-3_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-53621-6
Online ISBN: 978-3-662-53622-3
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