2 citations · 6 across the 8 of their papers we have counts for
8 papers
Symmetries of the Woolly Hat graphs
Leah Wrenn Berman, Hiroki Koike, Elias Mochan +3
A graph is edge-transitive if the natural action of its automorphism group on its edge set is transitive. An automorphism of a graph is semiregular if all of the orbits of the subg…
Cyclic groups are CI-groups for balanced configurations
Hiroki Koike, István Kovács, Dragan Marušič +1
In this paper it is shown that every finite cyclic group satisfies the CI-property for the class of balanced configurations.
Arc-transitive cubic abelian bi-Cayley graphs and BCI-graphs
Hiroki Koike, István Kovács
A finite simple graph is called a bi-Cayley graph over a group if it has a semiregular automorphism group, isomorphic to which has two orbits on the vertex set. Cubic vert…
A classification of nilpotent 3-BCI groups
Hiroki Koike, István Kovács
Given a finite group and a subset the bi-Cayley graph $\bcay(G,S)$ is the graph whose vertex set is and edge set is $\{\{(x,0),(s x,1)\} : x…
Cubic symmetric graphs having an abelian automorphism group with two orbits
Hiroki Koike, István Kovács
Finite connected cubic symmetric graphs of girth 6 have been classified by K. Kutnar and D. Marušič, in particular, each of these graphs has an abelian automorphism group with two…
Flag Bicolorings, Pseudo-Orientations, and Double Covers of Maps
Hiroki Koike, Daniel Pellicer, Miguel Raggi +1
This paper discusses consistent flag bicolorings of maps and maniplexes, in their own right and as generalizations of orientations and pseudo-orientations. Furthermore, a related d…