On cycle bases of a graph
✍ Scribed by M. M. Sysło
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 358 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Halin graphs are planar 3‐connected graphs that consist of a tree and a cycle connecting the end vertices of the tree. It is shown that all Halin graphs that are not “necklaces” have a unique minimum cycle basis. © 2003 Wiley Periodicals, Inc. J Graph Theory 43: 150–155, 2003
## Abstract This paper considers conditions ensuring that cycle‐isomorphic graphs are isomorphic. Graphs of connectivity ⩾ 2 that have no loops were studied in [2] and [4]. Here we characterize all graphs __G__ of connectivity 1 such that every graph that is cycle‐isomorphic to __G__ is also isomor
## Abstract Define the partial join of two graphs to be some graph arising from their disjoint union by adding a set of new edges each joining a vertex of the first graph and a vertex of the second one. We characterize all colour‐critical graphs being partial joins of a complete graph and an odd cy
## Abstract Let __SCC__~3~(__G__) be the length of a shortest 3‐cycle cover of a bridgeless cubic graph __G__. It is proved in this note that if __G__ contains no circuit of length 5 (an improvement of Jackson's (__JCTB 1994__) result: if __G__ has girth at least 7) and if all 5‐circuits of __G_