PFFM and Quasi-Morishima matrices
- 122 Downloads
In 1983, Greenberg  advanced an open problem “We do not have simple criterion that will enable us to characterize which elements of PFFM are quasi-Morishima and which are not.” In this paper, two algorithms of time complexity O(e) are provided.The algorithms can be used to decide which PFFM is quasi-Morishima and which is not. Here e denotes the number of edges of the researched graph. So we give an answer for the open problem.
Unable to display preview. Download preview PDF.
- 1.Greenberg, H., Richard, J., Maybee, J.:Rectangular matrices and signed graphs, SIAM. J. ALG. DISC. Meth. 4(1983)50–61Google Scholar
- 2.Gondran, M.. Graphs and algorithms. John Wiley and Sons. (1979) New YorkGoogle Scholar
- 3.Harary, F., Normar, R., Cartwright, D.:Structrual Models:An Introduction to the theory of Directed graphs. John Wiley and Sons (1965). New YorkGoogle Scholar
- 4.Harary.F.:On the notion of balance of a signed graph. Michingan Math. J. 2(1953–54)143–146Google Scholar