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11 papers · 1 filter
Classifying edge-biregular maps of negative prime Euler characteristic
Olivia Jeans, Jozef Širáň
An edge-biregular map arises as a smooth normal quotient of a unique index-two subgroup of a full triangle group acting with two edge-orbits. We give a classification of all finite…
Mixed Moore Cayley graphs
Grahame Erskine
The degree-diameter problem seeks to find the largest possible number of vertices in a graph having given diameter and given maximum degree. There has been much recent interest in…
The spectra of lifted digraphs
C. Dalfó, M. A. Fiol, J. Širáň
We present a method to derive the complete spectrum of the lift of a base digraph , with voltage assignments on a (finite) group . The method is based on assigning to $…
On Hamilton Decompositions of Infinite Circulant Graphs
Darryn Bryant, Sarada Herke, Barbara Maenhaut +1
The natural infinite analogue of a (finite) Hamilton cycle is a two-way-infinite Hamilton path (connected spanning 2-valent subgraph). Although it is known that every connected $2k…
Substitution-based sequences with absolutely continuous diffraction
Lax Chan, Uwe Grimm
Modifying Rudin's original construction of the Rudin-Shapiro sequence, we derive a new substitution-based sequence with purely absolutely continuous diffraction spectrum.
Juxtaposing Catalan permutation classes with monotone ones
Robert Brignall, Jakub Sliacan
This paper enumerates all juxtaposition classes of the form "Av() next to Av()", where is a permutation of length three and is a permutation of length two. We u…