Visualization of Graphs and Related Discrete Structures in Mathematica

Research in discrete mathematics can be conducted more eciently if one can visualize discrete structures such as graphs, groups, polyhedra, maps, posets, lattices, tilings, incidence structures, etc. The Mathematica based computer package Vega that our group is developing over the years has many automatic drawing programs built in. We review several methods for drawing graphs and present a way of computer representation of other discrete structures which can be visualized as graphs