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Titulos:
Ends and automorphisms of infinite graps / Mark E. Watkins.
Idiomas:
eng
Lugar de Edición:
Editor:
Fecha de Edición:
Nota de contenido:
These lectures introduce the finite graph theorist to a medley of topics and theorems in infinite graphs theory. Secton 1 : three graph theoretical notions required for a study of infinite graphs, namely end-equivalence (as developed by R. Halin), a refinement of the notion of connectivity, and growth. Section 2: an extension to infinite graphs (by C. Thomassen and the author ) of W.T. Tutte´s thoerem on arc-transitivy. Section 3: Two -ended graphs, especially various characterizations of strips. Section 4: rays, double rays, quasi-axes, and the automorphism group action upon them. Section 5: joint work by P. Niemeyer and the author on fiber-equivalence, which is a refinement of end-equivalence. Section 6: The classification of locally finite, edge-transitive planar graphs by J.E. Graver and the author in terms of the number of ends, their Petrie walks, and the local behavior of their automorphism groups.
Palabras clave:
Leader:
naa#
Campo 008:
110428s1997####ne############000#0#eng#d
Campo 041:
1#^aeng
Campo 100:
1#^aWatkins, Mark E.
Campo 245:
10^aEnds and automorphisms of infinite graps /^cMark E. Watkins.
Campo 246:
Campo 300:
##^a379-414 p. :^bfig. ;^c26 cm.
Campo 520:
##^aThese lectures introduce the finite graph theorist to a medley of topics and theorems in infinite graphs theory. Secton 1 : three graph theoretical notions required for a study of infinite graphs, namely end-equivalence (as developed by R. Halin), a refinement of the notion of connectivity, and growth. Section 2: an extension to infinite graphs (by C. Thomassen and the author ) of W.T. Tutte´s thoerem on arc-transitivy. Section 3: Two -ended graphs, especially various characterizations of strips. Section 4: rays, double rays, quasi-axes, and the automorphism group action upon them. Section 5: joint work by P. Niemeyer and the author on fiber-equivalence, which is a refinement of end-equivalence. Section 6: The classification of locally finite, edge-transitive planar graphs by J.E. Graver and the author in terms of the number of ends, their Petrie walks, and the local behavior of their automorphism groups.
Campo 653:
##^aGraph symmetry
Campo 653:
##^aInfinite graphs
Campo 700:
1#^aHahn, G and Sabidussi, G.^4edt
Proveniencia:
##^aUniversidad Nacional de San Luis - Sistema de Bibliotecas
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Institucion:
Universidad Nacional de San Luis
Dependencia:
Sistema de Bibliotecas - Colección MARC21

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