The spectrum problem for digraphs of order 4 and size 5

• DOI: 10.7494/opmath.2018.38.1.15
• Publication Date: 2017-11-08T22:41:28Z
• Authors: Ryan C. Bunge; Steven DeShong; Saad I. El-Zanati; Alexander Fischer; Dan P. Roberts; Lawrence Teng
• Keywords: Multigraph

The paw graph consists of a triangle with pendant edge attached to one the three vertices.We obtain multigraph by adding exactly repeated paw.Now, let D be directed obtained orientating edges that multigraph.For 12 18 possibilities for D, we establish necessary and sufficient conditions on n existence (K * , D)-design.Partial results are given remaining 6 D.