Abstract
We apply term algebraic graphs for an infinite family of graphs for which the vertex set and the neighbourhood of each vertex are quasiprojective varieties over the commutative ring . For each integral domain with unity of characteristic and integral we construct an edge transitive graph of girth and diameter bounded by the constant independent on . In particular, for each we have a family of algebraic small world graphs over , where is prime, of girth .
Citation
V. A. Ustimenko. "ALGEBRAIC GROUPS AND SMALL WORLD GRAPHS OF HIGH GIRTH." Albanian J. Math. 3 (1) 25 - 33, 2009. https://doi.org/10.51286/albjm/1236885681
Information