In mathematics, the hafnian is a scalar function of a symmetric matrix that generalizes the permanent. The hafnian was named by Eduardo R. Caianiello "to...

numbers. The number of perfect matchings in a graph is also known as the hafnian of its adjacency matrix. One of the basic problems in matching theory is...

still holds. The expression on the right-hand side is also known as the hafnian of the covariance matrix of ( X 1 , … , X n ) {\displaystyle (X_{1},\dots...

School of Specialization in Cyber and Physical Sciences. The name of the Hafnian was coined by Cainaniello "to mark the fruitful period of stay in Copenhagen...

Read Holographic algorithm for more information. Determinant Dimer model Hafnian Polyomino Statistical mechanics "Archived copy" (PDF). Archived from the...

sources or in-line nonlinear amplification medium. This variant uses the Hafnian, a generalization of the permanent. The above results state that the existence...

of them possibly empty. The former formula possesses an analog for the hafnian of a symmetric A {\displaystyle A} and an odd p: haf 2 ⁡ ( A ) = ( − 1...

Slater determinant, an application of permanents in quantum mechanics Hafnian Marcus, Marvin; Minc, Henryk (1965). "Permanents". Amer. Math. Monthly...