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Ends of graphs. II

Published online by Cambridge University Press:  24 October 2008

Rögnvaldur G. Möllert
Rögnvaldur G. Möllert
Affiliation:
Mathematical Institute, 24–29 St Giles', Oxford 0X1 3LB
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Abstract

This paper deals with locally finite connected graphs with infinitely many ends. The structure of such graphs with a transitive group of automorphisms that fixes an end is investigated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 3 , May 1992 , pp. 455 - 460
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

[1]Jung, H. A.. A note on fragments of infinite graphs. Combinatorica 1 (1981), 285–288.CrossRefGoogle Scholar
[2]Möller, R. G.. Ends of graphs. Math. Proc. Cambridge Philos. Soc. 111 (1992), 255–266.CrossRefGoogle Scholar
[3]Picardello, M. A. and Woess, W.. Harmonic functions and ends of graphs. Proc. Edinburgh Math. Soc. (2) 31 (1988), 457–461.CrossRefGoogle Scholar
[4]Soardi, P. M. and Woess, W.. Amenability, unimodularity, and the spectral radius of random walks on infinite graphs. Math. Z. 205 (1990), 471–486.CrossRefGoogle Scholar
[5]Watkins, M. E.. Infinite paths that contain only shortest paths. J. Combin. Theory Ser. B 41 (1986), 341–355.CrossRefGoogle Scholar
[6]Woess, W.. Amenable group actions on infinite graphs. Math. Ann. 284 (1989), 251–265.CrossRefGoogle Scholar
[7]Woess, W.. Boundaries of random walks on graphs and groups with infinitely many ends. Israel J. Math. 68 (1989), 271–301.Google Scholar
[8]Woess, W.. Topological groups and infinite graphs. Ann. Discrete Math. 95 (1991), 373–384.CrossRefGoogle Scholar