Hypergraphs: Application in Food networks

Ibtesam  Ali Rasheed Alrowily

doi:10.24297/jam.v21i.9207

Authors

Ibtesam Ali Rasheed Alrowily Al-Jouf University Sakakah, Saudi Arabia

DOI:

https://doi.org/10.24297/jam.v21i.9207

Keywords:

complex systems, relation algebra, Hypergraphs

Abstract

A hypergraph is a generalization of a graph since, in a graph an edge relates only a pair of points, but the edges of a hypergraph known as hyperedges can relate groups of more than two points. The representation of complex systems as graphs is appropriate for the study of certain problems. We give several examples of social, biological, ecological and technological systems where the use of graphs gives very limited information about the structure of the system. We propose to use hypergraphs to represent these systems.

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References

G. Schmidt and T. Strohlein. Relations and Graphs. Discrete Mathematics for Springer-Verlag, Berlin, 1993.

G. Boole. The Mathematical Analysis of Logic, Being an Essay Toward a Calculus of Deductive Reasoning. Macmillan, Cambridge, 1847.

E. Estrada1 and J. A. Rodriguez- Velzquez. Complex Systems Research

G. Benko, C. Flamm and P. F. Stadler, Lect. Notes Comput. Sci. 2801, 10 (2003).

G. Schmidt and T. Strohlein. Relations and Graphs. Springer-Verlag, Berlin, 1989.

M Sonntaga, H. Teichertb. Competition hypergraphs. https://tu-freiberg.de/sites/default/files/media/fakultaet-fuer-mathematik-und-informatik-fakultaet-1-9277/prep/2011-08_fertig.pdf.

J.E. Cohen, Interval graphs and food webs: a 8nding and a problem, Rand Corporation Document 17696-PR, Santa Monica, CA, 1968.

S.R. Kim, The competition number and its variants, in: J. Gimbel, J.W. Kennedy, L.V. Quintas (Eds.), Quo Vadis, Graph Theory? Ann. Discrete Math. 55 (1993) 313–326.

F.S. Roberts, Graph theory and its applications to problems of society, CBMS-NSF Monographs, Vol. 29, SIAM Publication, Philadelphia, 1978.