Smallest graphs with given generalized quaternion automorphism group

Author:

Graves Christina1ORCID,Graves Stephen J.1,Lauderdale L.-K.1

Affiliation:

1. Department of Mathematics; University of Texas at Tyler; Tyler TX

Publisher

Wiley

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics

Reference14 articles.

1. The classification of minimal graphs with given abelian automorphism group;Arlinghaus;Memoirs Amer. Math. Soc.,1985

2. On the minimum order of graphs with a given group;Babai;Can. Math. Bull.,1974

3. Herstellung von graphen mit vorgegebener abstrakter gruppe;Frucht;Compositio Math.,1939

4. The least number of edges for graphs having automorphism group of order three

5. The least number of edges for graphs having dihedral automorphism group;Haggard;Discrete Math.,1973

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fixing Numbers of Graphs with Symmetric and Generalized Quaternion Symmetry Groups;Graphs and Combinatorics;2024-01-19

2. Smallest graphs with given automorphism group;Journal of Algebraic Combinatorics;2022-03-29

3. Vertex-minimal planar graphs with cyclic 2-group symmetry;Journal of Algebraic Combinatorics;2020-09-14

4. Vertex-minimal graphs with nonabelian $${\mathbf{2}}$$-group symmetry;Journal of Algebraic Combinatorics;2020-09-12

5. Vertex-minimal planar graphs with a prescribed automorphism group;Journal of Algebraic Combinatorics;2020-04-18

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