The Permanent Function (PERMAN)

1978 ◽  
pp. 217-225
Author(s):  
ALBERT NIJENHUIS ◽  
HERBERT S. WILF
Keyword(s):  
Permanent Function

scholarly journals The monotonicity of the permanent function

1991 ◽  
Vol 91 (1) ◽  
pp. 99-104 ◽  
Author(s):  
Suk Geun Hwang
Keyword(s):  
Permanent Function

Remark on algorithm 361 [G6]: permanent function of a square matrix I and II

1970 ◽  
Vol 13 (6) ◽  
pp. 376
Author(s):  
Bruce Shriver ◽  
P. J. Eberlein ◽  
R. D. Dixon
Keyword(s):  
Permanent Function ◽  
Square Matrix

scholarly journals A Framework to Measure the Service Quality of Distributor with Fuzzy Graph Theoretic Approach

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Tarun Kumar Gupta ◽  
Vikram Singh
Keyword(s):  
Service Quality ◽  
Theory Approach ◽  
Theoretic Approach ◽  
Fuzzy Graph ◽  
Graph Theoretic ◽  
Graph Theoretic Approach ◽  
Manufacturing Supply Chain ◽  
Permanent Function ◽  
Numerical Index

A combination of fuzzy logic and graph theoretic approach has been used to find the service quality of distributor in a manufacturing supply chain management. This combination is termed as the fuzzy graph theoretic (FGT) approach. Initially the identified factors were grouped by SPSS (statistical package for social science) software and then the digraph approach was applied. The interaction and inheritance values were calculated by fuzzy graph theory approach in terms of permanent function. Then a single numerical index was calculated by using permanent function which indicates the distributor service quality. This method can be used to compare the service quality of different distributors.

Inequalities for permanents and permanental minors

1965 ◽  
Vol 61 (3) ◽  
pp. 741-746 ◽  
Author(s):  
R. A. Brualdi ◽  
M. Newman
Keyword(s):  
Convex Function ◽  
Convex Set ◽  
Identity Matrix ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Counter Example ◽  
Doubly Stochastic Matrices ◽  
Permanent Function ◽  
Image Position

Let Ωndenote the convex set of alln×ndoubly stochastic matrices: chat is, the set of alln×nmatrices with non-negative entries and row and column sums 1. IfA= (aij) is an arbitraryn×nmatrix, then thepermanentofAis the scalar valued function ofAdefined bywhere the subscriptsi1,i2, …,inrun over all permutations of 1, 2, …,n. The permanent function has been studied extensively of late (see, for example, (1), (2), (3), (4), (6)) and it is known that ifA∈ Ωnthen 0 <cn≤ per (A) ≤ 1, where the constantcndepends only onn. It is natural to inquire if per (A) is a convex function ofAforA∈ Ωn. That this is not the case was shown by a counter-example given by Marcus and quoted by Perfect in her paper ((5)). In this paper, however, she shows that per (½I+ ½A) ≤ ½ + ½ per (A) for allA∈ Ωn. HereI=Inis the identity matrix of ordern.

scholarly journals Induced Markov chains and the permanent function

1972 ◽  
Vol 75 (2) ◽  
pp. 93-99 ◽  
Author(s):  
Albert Nijenhuis ◽  
Herbert S Wilf
Keyword(s):  
Markov Chains ◽  
Permanent Function

scholarly journals A characterization of the permanent function by the Binet-Cauchy theorem

1988 ◽  
Vol 101 ◽  
pp. 49-72 ◽  
Author(s):  
Konrad J. Heuvers ◽  
L.J. Cummings ◽  
K.P.S. Bhaskara Rao
Keyword(s):  
Cauchy Theorem ◽  
Permanent Function

scholarly journals The permanent function as an inner product

1961 ◽  
Vol 67 (2) ◽  
pp. 223-225 ◽  
Author(s):  
Marvin Marcus ◽  
Morris Newman
Keyword(s):  
Inner Product ◽  
Permanent Function

scholarly journals Modeling, Analysis, and Comparison of Nanotechnology System: A Graph-Theoretic Approach

2020 ◽  
Author(s):  
Tanvir Singh ◽  
V.P. Agrawal
Keyword(s):  
Graph Theory ◽  
Complete Analysis ◽  
Theoretic Model ◽  
Theoretic Approach ◽  
Graph Theoretic ◽  
Systems Model ◽  
System A ◽  
Modeling Analysis ◽  
Graph Theoretic Approach ◽  
Permanent Function

Nanotechnology can create many new nanomaterials and nanodevices with a vast range of applications, such as in medicine, electronics, biomaterials, and energy production, etc. An attempt is made to develop an integrated systems model for the structure of the nanotechnology system in terms of its constituents and interactions between the constituents and processes, etc. using graph theory and matrix algebra. The nanotechnology system is first modeled with the help of graph theory, secondly by variable adjacency matrix and thirdly by multinomial (which is known as a permanent function). The permanent function provides an opportunity to carry out a structural analysis of nanotechnology system in terms of its strength, weakness, improvement, and optimization, by correlating the different systems with its structure. The physical meaning has been associated with each term of the permanent function. Different structural attributes of the nanotechnology system are identified concurrently to reduce cost, time for design and development, and also to develop a graph-theoretic model, matrix model, and multinomial permanent model of nanotechnology system. The top-down approach for a complete analysis of any nanotechnology systems is given. The general methodology is presented for the characterization and comparison of two nanotechnology systems.

Sign in / Sign up

Export Citation Format

Share Document