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Classifying vertex-transitive graphs whose order is a product of two primes

✍ Scribed by D. Marušič; R. Scapellato

Book ID
105122046
Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
785 KB
Volume
14
Category
Article
ISSN
0209-9683

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On Non-Cayley Vertex-Transitive Graphs o
On Non-Cayley Vertex-Transitive Graphs of Order a Product of Three Primes
✍ Mohammad A. Iranmanesh; Cheryl E. Praeger 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 192 KB

This paper completes the determination of all integers of the form pqr (where p, q, and r are distinct primes) for which there exists a vertex-transitive graph on pqr vertices which is not a Cayley graph.

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On Connected Transversals to Subgroups Whose Order is a Product of Two Primes
✍ Markku Niemenmaa 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 70 KB

We consider finite groups which have connected transversals to subgroups whose order is a product of two primes p and q. We investigate those values of p and q for which the group is soluble. We can show that the solubility of the group follows if q = 2 and p ≤ 61, q = 3 and p ≤ 31, q = 5 and p ≤ 11