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On the number of cycles in a graph

  • Bader F. AlBdaiwi EMAIL logo
Veröffentlicht/Copyright: 9. Februar 2018
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Abstract

There is a sizable literature on investigating the minimum and maximum numbers of cycles in a class of graphs. However, the answer is known only for special classes. This paper presents a result on the smallest number of cycles in Hamiltonian 3-connected cubic graphs. Further, it describes a proof technique that could improve an upper bound of the largest number of cycles in a Hamiltonian graph.


Communicated by Peter Horák


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Received: 2015-10-31
Accepted: 2016-3-1
Published Online: 2018-2-9
Published in Print: 2018-2-23

© 2018 Mathematical Institute Slovak Academy of Sciences

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