On the extremal values of the cyclic continuants of Motzkin and Straus

In a 1983 paper, G. Ramharter asks what are the extremal arrangements for the cyclic analogues of the regular and semi-regular continuants first introduced by T.S. Motzkin and E.G. Straus in 1956. In this paper we answer this question by showing that for each set $A$ consisting of positive integers $1

Keywords:

• Word (group theory)
• Combinatorics
• order
• continuant
• Partition (number theory)
• Mathematics

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