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Some Graph Properties Determined by Edge Zeta Functions by Storm, Christopher K. is a scholarly article available to read on EtoBox.

What is Some Graph Properties Determined by Edge Zeta Functions about?

Stark and Terras introduced the edge zeta function of a finite graph in 1996. The edge zeta function is the reciprocal of a polynomial in twice as many variables as edges in the graph and can be computed in polynomial time. We look at graph properties which we can determine using the edge zeta function. In particular, the edge zeta function is enough to deduce the clique number, the number of Hamiltonian cycles, and whether a graph is perfect or chordal. Actually computing these properties takes exponential time. Finally, we present a new example illustrating that the Ihara zeta function cannot necessarily do the same.

Author

Storm, Christopher K.

Published

2007

Language

EN