DOIAbstract
AbstractWe give a combinatorial proof of Muir's identity between permanents and determinants and of the Cauchy-Binet formula. Some related identities are also commented on
AbstractWe give a combinatorial proof of Muir's identity between permanents and determinants and of the Cauchy-Binet formula. Some related identities are also commented on
This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enume...
In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities ...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
Abstract. Zeilberger has given a combinatorial proof of Dodgson’s rule for calculating determinants....
We give a short proof of the Cauchy-Binet determinantal formula using multilinear algebra by first g...
AbstractWe give a common, concise derivation of some important determinantal identities attributed t...
AbstractWe prove that the well-known Binet-Cauchy theorem for the permanent function characterizes t...
We prove Borchardt's identity by means of sign-reversing involutions. Keyw...
In this paper we give combinatorial proofs of some well known identities and obtain some generalizat...
We prove that the well-known Binet-Cauchy theorem for the permanent function characterizes the perma...
We provide elementary bijective proofs of some curious binomial coefficient identities which were ob...
AbstractSome algebraic identities are presented which give expansions for determinants of square mat...
We provide elementary bijective proofs of some curious binomial coefficient identities which were ob...
In 1858 Cayley considered a particular kind of tridiagonal determinants (or continuants). By a direc...
AbstractIn 1858 Cayley considered a particular kind of tridiagonal determinants (or continuants). By...
This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enume...
In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities ...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
Abstract. Zeilberger has given a combinatorial proof of Dodgson’s rule for calculating determinants....
We give a short proof of the Cauchy-Binet determinantal formula using multilinear algebra by first g...
AbstractWe give a common, concise derivation of some important determinantal identities attributed t...
AbstractWe prove that the well-known Binet-Cauchy theorem for the permanent function characterizes t...
We prove Borchardt's identity by means of sign-reversing involutions. Keyw...
In this paper we give combinatorial proofs of some well known identities and obtain some generalizat...
We prove that the well-known Binet-Cauchy theorem for the permanent function characterizes the perma...
We provide elementary bijective proofs of some curious binomial coefficient identities which were ob...
AbstractSome algebraic identities are presented which give expansions for determinants of square mat...
We provide elementary bijective proofs of some curious binomial coefficient identities which were ob...
In 1858 Cayley considered a particular kind of tridiagonal determinants (or continuants). By a direc...
AbstractIn 1858 Cayley considered a particular kind of tridiagonal determinants (or continuants). By...
This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enume...
In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities ...
This paper presents binomial theorems on combinatorial identities that are derived from the binomial...
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