In this paper, we define meta-Cayley graphs on dihedral groups. We fully determine the automorphism groups of the constructed graphs in question. Further, we prove that some of the graphs that we have constructed do not admit subgroups which act regularly on their vertex set; thus proving that they cannot be represented as Cayley graphs on groups.
机构:
Univ Western Cape, Dept Math & Appl Math, Private Bag X17, ZA-7535 Bellville, South AfricaUniv Western Cape, Dept Math & Appl Math, Private Bag X17, ZA-7535 Bellville, South Africa
机构:
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Zhou, Hui
Xu, Liufeng
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Xu, Liufeng
Cui, Yang
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Cui, Yang
Feng, Rongquan
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Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Feng, Rongquan
Ding, Qi
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Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R ChinaPeking Univ, Sch Math Sci, Beijing 100871, Peoples R China