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Examples and counterexamples in graph theory

✍ Scribed by Michael Capobianco; John C. Molluzzo

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
41 KB
Volume
2
Category
Article
ISSN
0364-9024

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We give examples for existence and non-existence of categorical quotients for algebraic group actions in the categories of algebraic varieties and prevarieties. All our examples are subtorus actions on toric varieties.

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An r-graph is any graph that can be obtained as a conic combination of its own 1-factors. An r-graph G(V, E) is said to be indecomposable when its edge set E cannot be partitioned as E = E 1 βˆͺ E 2 so that G i (V, E i ) is an r igraph for i = 1, 2 and, for some r 1 , r 2 . We give an indecomposable r