AbstractWe study finite graphs which are covered by the 1-skeleton of a building of type Ãn and with an extremal spectral property: they are Ãn-Ramanujan in the sense of Lubotzky. That definition is made quantitatively explicit, refined in the directed case, and a few candidates are suggested
AbstractGraphs are attached to Fqn, where Fq is the field with q elements, q odd, using an analogue ...
AbstractA random n-lift of a base-graph G is its cover graph H on the vertices [n]×V(G), where for e...
AbstractWe give a decomposition theorem for Platonic graphs over finite fields and use this to deter...
AbstractWe study finite graphs which are covered by the 1-skeleton of a building of type Ãn and wit...
AbstractThe notion of Ramanujan graph has been extended to not necessarily regular graphs by Y. Gree...
In this paper we consider the relation between the spectrum and the number of short cycles in large ...
AbstractIn this paper I study the spectrum of edge-indexed graphs. For any k, an explicit infinite f...
Gegenstand der Dissertation sind sogenannte Ramanujan-Graphen und Hypergraphen, die mit ...
We give elementary constructions of two infinite families of Ramanujan graphs of unbounded degree. T...
We define $k$-dimensional digraphs and initiate a study of their spectral theory. The $k$-dimensiona...
AbstractThis is a companion paper of “Finite Euclidean graphs and Ramanujan graphs” by the same auth...
We consider a special class of generalized Paley graphs over finite fields, namely the Cayley graphs...
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Start...
This thesis reviews some of the major results in the study of expander graphs. In particular this th...
These notes are not necessarily an accurate representation of what happened in class. The notes writ...
AbstractGraphs are attached to Fqn, where Fq is the field with q elements, q odd, using an analogue ...
AbstractA random n-lift of a base-graph G is its cover graph H on the vertices [n]×V(G), where for e...
AbstractWe give a decomposition theorem for Platonic graphs over finite fields and use this to deter...
AbstractWe study finite graphs which are covered by the 1-skeleton of a building of type Ãn and wit...
AbstractThe notion of Ramanujan graph has been extended to not necessarily regular graphs by Y. Gree...
In this paper we consider the relation between the spectrum and the number of short cycles in large ...
AbstractIn this paper I study the spectrum of edge-indexed graphs. For any k, an explicit infinite f...
Gegenstand der Dissertation sind sogenannte Ramanujan-Graphen und Hypergraphen, die mit ...
We give elementary constructions of two infinite families of Ramanujan graphs of unbounded degree. T...
We define $k$-dimensional digraphs and initiate a study of their spectral theory. The $k$-dimensiona...
AbstractThis is a companion paper of “Finite Euclidean graphs and Ramanujan graphs” by the same auth...
We consider a special class of generalized Paley graphs over finite fields, namely the Cayley graphs...
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Start...
This thesis reviews some of the major results in the study of expander graphs. In particular this th...
These notes are not necessarily an accurate representation of what happened in class. The notes writ...
AbstractGraphs are attached to Fqn, where Fq is the field with q elements, q odd, using an analogue ...
AbstractA random n-lift of a base-graph G is its cover graph H on the vertices [n]×V(G), where for e...
AbstractWe give a decomposition theorem for Platonic graphs over finite fields and use this to deter...
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