- Tytuł:
- Edge-Transitivity of Cayley Graphs Generated by Transpositions
- Autorzy:
- Ganesan, Ashwin
- Powiązania:
- https://bibliotekanauki.pl/articles/31340468.pdf
- Data publikacji:
- 2016-11-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Cayley graphs
transpositions
automorphisms of graphs
edge-transitive graphs
line graphs
Whitney’s isomorphism theorem - Opis:
- Let S be a set of transpositions generating the symmetric group Sn (n ≥ 5). The transposition graph of S is defined to be the graph with vertex set {1, . . ., n}, and with vertices i and j being adjacent in T(S) whenever (i, j) ∈ S. In the present note, it is proved that two transposition graphs are isomorphic if and only if the corresponding two Cayley graphs are isomorphic. It is also proved that the transposition graph T(S) is edge-transitive if and only if the Cayley graph Cay(Sn, S) is edge-transitive.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2016, 36, 4; 1035-1042
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł