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113 papers · 1 filter
On graphs isomorphic with their conduction graph
Aidan Birkinshaw, Patrick W. Fowler, Jan Goedgebeur +1
Conduction graphs are defined here in order to elucidate at a glance the often complicated conduction behaviour of molecular graphs as ballistic molecular conductors. The graph $G^…
On the girth and connectivity of cubic graphs with a unique longest cycle
Jorik Jooken, Carol T. Zamfirescu
We show that there exists an infinite family of cubic -connected non-hamiltonian graphs with girth containing a unique longest cycle.
Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: symplectic and hermitian forms
Maarten De Boeck, Geertrui Van de Voorde
In this paper, we solve a classical counting problem for non-degenerate forms of symplectic and hermitian type defined on a vector space: given a subspace , we find the number o…
Preserving and Increasing Symmetries of Polyhedral Maps
Gunnar Brinkmann, Fabio Buccoliero, Heidi Van den Camp
In this article we investigate the question which local symmetry preserving operations can not only preserve, but also increase the symmetry of a polyhedral map. Often operations t…
Association schemes and orthogonality graphs on anisotropic points of polar spaces
Sam Adriaensen, Maarten De Boeck
In this paper, we study association schemes on the anisotropic points of classical polar spaces. Our main result concerns non-degenerate elliptic and hyperbolic quadrics in PG$(n,q…
High-dimensional expanders from Kac--Moody--Steinberg groups
Laura Grave de Peralta, Inga Valentiner-Branth
High-dimensional expanders are a generalization of the notion of expander graphs to simplicial complexes and give rise to a variety of applications in computer science and other fi…