8% show that for my group If (Bnhc of infhitee) there exists an indepmdence structure with autans~~qMsm gruep i.wmcwphic ts ff. The pmof is by construction and shows that 5 1 Introduction We show &at for any graup N f'finite CH infinite) there exists an independence structure with autamorphism grou
A product of matroids and its automorphism group
โ Scribed by Ming-Huat Lim
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 645 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A simple way of as,;ociating a matroid of prescribed rank with a graph is shown. The matroids so corhstrueted are re.presentable over any sufficiently large field. Their ase is demonstrated by the fallowing result: Given an integer k >~ 3 and a hmction G associating a group with each subsel of a set
## Abstract In this article we study the product action of the direct product of automorphism groups of graphs. We generalize the results of Watkins [J. Combin Theory 11 (1971), 95โ104], Nowitz and Watkins [Monatsh. Math. 76 (1972), 168โ171] and W. Imrich [Israel J. Math. 11 (1972), 258โ264], and w