• Journal of the Korean Mathematical Society
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• v.12 no.2
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• pp.79-87
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• 1975

• Kyungpook Mathematical Journal
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• v.31 no.1
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• pp.119-130
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• 1991

• Kyungpook Mathematical Journal
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• v.18 no.1
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• pp.1-2
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• 1978

• East Asian mathematical journal
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• v.15 no.1
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• pp.45-53
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• 1999

• Kyungpook Mathematical Journal
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• v.21 no.2
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• pp.251-262
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• 1981

• East Asian mathematical journal
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• v.9 no.1
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• pp.25-34
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• 1993

• Honam Mathematical Journal
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• v.9 no.1
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• pp.7-17
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• 1987

• Kyungpook Mathematical Journal
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• v.29 no.1
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• pp.104-113
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• 1989

• Journal of the Korean Mathematical Society
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• v.50 no.6
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• pp.1199-1211
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• 2013

We introduce a new class of graphs, called quasi $m$-Cayley graphs, having good symmetry properties, in the sense that they admit a group of automorphisms G that fixes a vertex of the graph and acts semiregularly on the other vertices. We determine when these graphs are strongly regular, and this leads us to define a new algebro-combinatorial structure, called quasi-partial difference family, or QPDF for short. We give several infinite families and sporadic examples of QPDFs. We also study several properties of QPDFs and determine, under several conditions, the form of the parameters of QPDFs when the group G is cyclic.

• Journal of the Korean Mathematical Society
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• v.53 no.6
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• pp.1237-1260
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• 2016

In the paper we classify complex K3 surfaces with non-symplectic automorphism of order 16 in full generality. We show that the fixed locus contains only rational curves and points and we completely classify the seven possible configurations. If the Picard group has rank 6, there are two possibilities and if its rank is 14, there are five possibilities. In particular if the action of the automorphism is trivial on the Picard group, then we show that its rank is six.