4 papers
Finite Vertex-colored Ultrahomogeneous Oriented Graphs
Irene Heinrich, Eda Kaja, Pascal Schweitzer
A relational structure R is ultrahomogeneous if every isomorphism of finite induced substructures of R extends to an automorphism of R. We classify the ultrahomogeneous finite bina…
On groups with chordal power graph, including a classification in the case of finite simple groups
Jendrik Brachter, Eda Kaja
We prove various properties on the structure of groups whose power graph is chordal. Nilpotent groups with this property have been classified by Manna, Cameron and Mehatari [The El…
Classification of non-solvable groups whose power graph is a cograph
Jendrik Brachter, Eda Kaja
Cameron, Manna and Mehatari investigated the question of which finite groups admit a power graph that is a cograph, also called power-cograph groups (Journal of Algebra 591 (2022))…
A new infinite family of star normal quotient graphs of twisted wreath type
Eda Kaja, Luke Morgan
We construct the first infinite families of locally arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly…