We show that there exists a family of r-regular graphs of arbitrarily large excessive index for each integer r greater than 3. Furthermore, we answer a question in Bonisoli and Cariolaro (2007) showing that all the positive integers can be attained as excessive classes of regular graphs.

Graphs of arbitrary excessive class

Mazzuoccolo, Giuseppe;
2011-01-01

Abstract

We show that there exists a family of r-regular graphs of arbitrarily large excessive index for each integer r greater than 3. Furthermore, we answer a question in Bonisoli and Cariolaro (2007) showing that all the positive integers can be attained as excessive classes of regular graphs.
1-factor cover, Excessive 1-factorization, Berge–Fulkerson conjecture
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/927914
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