Abstract
Let n, t, k be integers such that 3 ⤠t,k ⤠n. Denote by G_n the set of graphs with vertex set {1,2,...,n}. In this paper, the complete linear transformations on G_n mapping K_t-free graphs to K_t-free graphs are characterized. The complete linear transformations on G_n mapping C_k-free graphs to C_k-free graphs are also characterized when n ⥠6.
Publisher
University of Wyoming Libraries
Subject
Algebra and Number Theory