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1.
Graphs and their automorphism groups bpredavanje eUnidad Cuernavaca del Instituto de Matemáticas, UNAM, Cuernavaca, Morelos, Mehika, 23. - 27. 7. 2012
Klavdija Kutnar, Primož Šparl, 2012, invited lecture at foreign university

Found in: ključnih besedah
Summary of found: ...automorphism group, ...
Keywords: automorphism group
Published: 15.10.2013; Views: 1598; Downloads: 11
URL Full text (0,00 KB)

2.
Automorphism groups of wreath product digraphs
Edward Dobson, Joy Morris, 2009, original scientific article

Found in: ključnih besedah
Summary of found: ...wreath product digraph, automorphism group, ...
Keywords: wreath product digraph, automorphism group
Published: 15.10.2013; Views: 2095; Downloads: 6
URL Full text (0,00 KB)
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3.
Hamilton paths in vertex-transitive graphs of order 10p
Klavdija Kutnar, Dragan Marušič, Cui Zhang, 2012, original scientific article

Abstract: It is shown that every connected vertex-transitive graph of order ▫$10p$▫, ▫$p \ne 7$▫ a prime, which is not isomorphic to a quasiprimitive graph arising from the action of PSL▫$(2,k)$▫ on cosets of ▫$\mathbb{Z}_k \times \mathbb{Z}_{(k-1)/10}$▫, contains a Hamilton path.
Found in: ključnih besedah
Keywords: graph, vertex-transitive, Hamilton cycle, Hamilton path, automorphism group
Published: 15.10.2013; Views: 1691; Downloads: 11
URL Full text (0,00 KB)

4.
On the order of arc-stabilisers in arc-transitive graphs, II
Gabriel Verret, 2013, original scientific article

Found in: ključnih besedah
Summary of found: ...arc-transitive graphs, graph-restrictive group, local action, ...
Keywords: arc-transitive graphs, graph-restrictive group, local action
Published: 15.10.2013; Views: 1956; Downloads: 42
URL Full text (0,00 KB)

5.
Hamiltonicity of vertex-transitive graphs of order 4p
Klavdija Kutnar, Dragan Marušič, 2008, original scientific article

Abstract: It is shown that every connected vertex-transitive graph of order ▫$4p$▫, where ▫$p$▫ is a prime, is hamiltonian with the exception of the Coxeter graph which is known to possess a Hamilton path.
Found in: ključnih besedah
Keywords: graph theory, vertex-transitive graphs, Hamilton cycle, automorphism group
Published: 15.10.2013; Views: 1579; Downloads: 17
URL Full text (0,00 KB)

6.
On two open problems in vertex-transitive graphs
Dragan Marušič, 2012, invited lecture at foreign university

Found in: ključnih besedah
Summary of found: ...automorphism group, ...
Keywords: automorphism group
Published: 15.10.2013; Views: 1481; Downloads: 16
URL Full text (0,00 KB)

7.
Some non-normal Cayley digraphs of the generalized quaternion group of certain orders
Edward Dobson, 2003, original scientific article

Found in: ključnih besedah
Keywords: non-normal Cayley digraph, generalized quaternion group
Published: 15.10.2013; Views: 1848; Downloads: 8
URL Full text (0,00 KB)
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8.
The full automorphism group of Cayley graphs of ${mathbb Z}_ptimes{mathbbZ}_{p^2}$
Edward Dobson, 2012, original scientific article

Found in: ključnih besedah
Keywords: Cayley graph, abelian group, automorphism group
Published: 15.10.2013; Views: 1735; Downloads: 31
URL Full text (0,00 KB)

9.
On non-normal arc-transitive 4-valent dihedrants
István Kovács, Boštjan Kuzman, Aleksander Malnič, 2010, original scientific article

Abstract: Let ▫$X$▫ be a connected non-normal 4-valent arc-transitive Cayley graph on a dihedral group ▫$D_n$▫ such that ▫$X$▫ is bipartite, with the two bipartition sets being the two orbits of the cyclic subgroup within ▫$D_n$▫. It is shown that ▫$X$▫ is isomorphic either to the lexicographic product ▫$C_n[2K_1]$▫ with ▫$n \geq 4$▫ even, or to one of the five sporadic graphs on 10, 14, 26, 28 and 30 vertices, respectively.
Found in: ključnih besedah
Summary of found: ...4-valent arc-transitive Cayley graph on a dihedral group ▫$D_n$▫ such that ▫$X$▫ is bipartite, with...
Keywords: Cayley graph, arc transitivity, dihedral group
Published: 15.10.2013; Views: 1743; Downloads: 38
URL Full text (0,00 KB)

10.
Classification of 2-arc-transitive dihedrants
Shao Fei Du, Aleksander Malnič, Dragan Marušič, 2008, original scientific article

Abstract: A complete classification of 2-arc-transitive dihedrants, that is, Cayley graphs of dihedral groups is given, thus completing the study of these graphs initiated by the third author in [D. Marušič, On 2-arc-transitivity of Cayley graphs, J. Combin. Theory Ser. B 87 (2003) 162-196]. The list consists of the following graphs: (i) cycles ▫$C_{2n},\; n \ge 3$▫; (ii) complete graphs ▫$K_{2n}, \; n \ge 3$▫; (iii) complete bipartite graphs ▫$K_{n,n}, \; n \ge 3$▫; (iv) complete bipartite graphs minus a matching ▫$K_{n,n} - nK_2, \; n \ge 3$▫; (v) incidence and nonincidence graphs ▫$B(H_{11})$▫ and ▫$B'(H_{11})$▫ of the Hadamard design on 11 points; (vi) incidence and nonincidence graphs ▫$B(PG(d,q))$▫ and ▫$B'(PG(d,q))$▫, with ▫$d \ge 2$▫ and ▫$q$▫ a prime power, of projective spaces; (vii) and an infinite family of regular ▫${\mathbb{Z}}_d$▫-covers ▫$K_{q+1}^{2d}$▫ of ▫$K_{q+1, q+1} - (q+1)K_2$▫, where ▫$q \ge 3$▫ is an odd prime power and ▫$d$▫ is a divisor of ▫$\frac{q-1}{2}$▫ and ▫$q-1$▫, respectively, depending on whether ▫$q \equiv 1 \pmod{4}$▫ or ▫$q \equiv 3 \pmod{4}$▫ obtained by identifying the vertex set of the base graph with two copies of the projective line ▫$PG(1,q)$▫, where the missing matching consists of all pairs of the form ▫$[i,i']$▫, ▫$i \in PG(1,q)$▫, and the edge ▫$[i,j']$▫ carries trivial voltage if ▫$i=\infty$▫ or ▫$j=\infty$▫, and carries voltage ▫$\bar{h} \in {\mathbb{Z}}_d$▫, the residue class of ▫$h \in {\mathbb{Z}}_d$▫, if and only if ▫$i-j = \theta^h$▫, where ▫$\theta$▫ generates the multiplicative group ▫${\mathbb{F}}_q^\ast$▫ of the Galois field ▫${\mathbb{F}}_q$▫.
Found in: ključnih besedah
Summary of found: ...dihedrants, that is, Cayley graphs of dihedral groups is given, thus completing the study of...
Keywords: permutation group, imprimitive group, dihedral group, Cayley graph, dihedrant, 2-Arc-transitive graph
Published: 15.10.2013; Views: 1551; Downloads: 46
URL Full text (0,00 KB)

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