1 0 Ju l 2 00 6 QUANTUM AUTOMORPHISM GROUPS OF VERTEX - TRANSITIVE GRAPHS OF ORDER ≤ 11
نویسنده
چکیده
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
منابع مشابه
2 2 N ov 2 00 6 QUANTUM AUTOMORPHISM GROUPS OF VERTEX - TRANSITIVE GRAPHS OF ORDER ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
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In a non-complete graph $Gamma$, a vertex triple $(u,v,w)$ with $v$ adjacent to both $u$ and $w$ is called a $2$-geodesic if $uneq w$ and $u,w$ are not adjacent. The graph $Gamma$ is said to be $2$-geodesic transitive if its automorphism group is transitive on arcs, and also on 2-geodesics. We first produce a reduction theorem for the family of $2$-geodesic transitive graphs of prime power or...
متن کاملQuantum automorphism groups of vertex - transitive graphs of order ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn , symmetric groups Sn and quantum symmetric groups Qn , by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
متن کامل3 1 Ja n 20 06 QUANTUM AUTOMORPHISM GROUPS OF VERTEX - TRANSITIVE GRAPHS OF ORDER ≤ 11
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
متن کاملQuantum Automorphism Groups of Vertex-transitive Graphs of Order ≤ 11 Teodor Banica and Julien Bichon
We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups Zn, symmetric groups Sn and quantum symmetric groups Qn, by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.
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تاریخ انتشار 2006