This is the only book on the topic of geometric configurations of points and lines. It presents
in detail the history of the topic, with its surges and declines since its beginning in 1876. It …

Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi
graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very …

Graph theory owes many powerful ideas and constructions to geometry. Several well-known
families of graphs arise as intersection graphs of certain geometric objects. Skeleta of …

The well-known Petersen graph G (5, 2) admits a semi-regular automorphism α acting on
the vertex set with two orbits of equal size. This makes it a bicirculant. It is shown that …

We consider the class of I‐graphs I (n, j, k), which is a generalization over the class of the
generalized Petersen graphs. We study different properties of I‐graphs, such as …

For a given group Γ with a generating set A, a dipole with| A| parallel arcs (directed edges)
labeled by elements of A gives rise to a voltage graph whose covering graph, denoted by H …

Many real‐world applications can be modelled as graphs or networks, including social
networks and biological networks. The theory of algebraic combinatorics provides tools to …

We elaborate on the existence and construction of the so-called combinatorial
configurations. The main result is that for fixed degrees the existence of such configurations …

Symmetry properties of the three 10-cages on 70 vertices are investigated. Being bipartite,
these graphs are Levi graphs of triangle-and quadrangle-free (353) configurations. For each …

Recent developments in commutative algebra, linear algebra, and graph theory allow us to
approach various issues in several fields. Circulant graphs now have a wider range of …