A balanced graph is a bipartite graph with no induced circuit of length 2 (mod 4). These graphs arise in linear programming. We focus on graph-algebraic properties of balanced gra...
We compute the spectrum of the Schreier graph of the symmetric group Sn corresponding to the Young subgroup S2 × Sn−2 and the generating set consisting of initial reversals. In ...
Paul E. Gunnells, Richard A. Scott, Byron L. Walde...
We construct smallest known trivalent graphs for girths 16 and 18. One construction uses voltage graphs, and the other coset enumeration techniques for group presentations. AMS Su...
Let be the fundamental group of a finite connected graph G. Let M be an abelian group. A distribution on the boundary of the universal covering tree is an M-valued measure defin...
We investigate the existence of edge-magic labellings of countably infinite graphs by abelian groups. We show for that for a large class of abelian groups, including the integers ...
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelso...