Proportional graphs are constructed for any rational p ϵ (0, 1) by a probabilistic method: it is shown that a certain random graph may with positive probability be adjusted so as to become proportional. The construction uses a novel type of random graph, where the number of edges is fixed but, nevertheless, the edges appear independently in rather large sets of possible edges.
ASJC Scopus subject areas
- Computer Graphics and Computer-Aided Design
- Applied Mathematics