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A Brouwer fixed point theorem for graph endomorphisms
Graph theory graph endormorphisms Lefschetz number Euler characteristic Brouwer fixed point Dynamical zeta function
2012/6/21
We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T. The degree ...