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An alternative formula for the number of Euler trails for a class of digraphs

✍ Scribed by N. Macris; J.V. Pulé

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
250 KB
Volume
154
Category
Article
ISSN
0012-365X

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✦ Synopsis

We derive an alternative formula for the number of Euler trails on strongly connected directed pseudographs whose every vertex has outdegree and indegree both equal to two in terms of an intersection matrix.

📜 SIMILAR VOLUMES

On a formula for the number of Euler tra
On a formula for the number of Euler trails for a class of digraphs
✍ J Lauri 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 240 KB

In this note we give an elementary combinatorial proof of a formula of Macris and Pul6 for the number of Euler trails in a digraph all of whose vertices have in-degree and out-degree equal to2.

Determinantal Formula for the Cuspidal C
Determinantal Formula for the Cuspidal Class Number of the Modular CurveX1(m)
✍ Fumio Hazama 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 313 KB

An integer matrix whose determinant computes the cuspidal class number of the modular curve X 1 (m) is obtained. When m is an odd prime, this will provide us with an upper bound of the class number.