Although questions about Eulerian circuits, paths, and covering edges by edge disjoint paths are easily answered for graphs or directed graphs, they are not easily answered if some edges are directed and others are not. We give necessary and sufficient conditions for an Eulerian path or circuit, and
Paths and circuits in graphs: Extreme cases
β Scribed by G. A. Dirac
- Publisher
- Akadmiai Kiad
- Year
- 1959
- Tongue
- English
- Weight
- 285 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1588-2632
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## This paper is concerned with terminable and interminable paths and trails The only cohnected graphs which contain no 2 -way and in which no finite path is terminable are precisely all the 1m multiways. Tho only connected graphs which have no 2 -m trail and in which no finite trail is terminabl
Consider the subset graph G(n, k) whose vertex set C(n, k) is the set of all n-tuples of 'O's' and 'l's' with exactly k 'I's'. Let an edge exist between two vertices a and b in G(n,k) if and only if a can be transformed into b by the interchange of two adjacent coordinate values, with the first and