Add to ORKGIn this paper we found an exact formula for a finite sub-tree counting problem. Note that the formulas, which correspond to two extremal cases, are Catalan Triangle introduced by Shapiro and ballot Catalan triangles. The general formula could be expressed as a linear combination of these Catalan triangles
AbstractWe give a new proof of Cayley's formula, which states that the number of labeled trees on n ...
We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and pro...
We present a very simple bijective proof of Cayley's formula due to Foata and Fuchs (1970). This bij...
We found an exact formulation for a finite sub-tree counting problem. Solution to two extremal cases...
We found an exact formulation for a finite sub-tree counting problem. Solution to two extremal cases...
We showed that one form of generalized Catalan numbers is the solution to the problem of finding dif...
In this paper, we consider a problem on finding the number of different single connected component c...
The Catalan numbers form one of the more frequently encountered counting sequences in combinatorics....
In this paper, we explore some of the methods that are often used to solve combinatorial problems by...
Borel's triangle is a triangular array of numbers constructed by a transformation of the Catalan num...
In this paper, we explore some of the methods that are often used to solve combinatorial problems by...
We showed that one form of generalized Catalan numbers is the solution to the problem of finding dif...
AbstractCatalan numbers C(n)=1/(n+1)2nn enumerate binary trees and Dyck paths. The distribution of p...
We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and pro...
In these notes we discuss the earlier sections of a paper of Suri and Vassilvitskii, with the great ...
AbstractWe give a new proof of Cayley's formula, which states that the number of labeled trees on n ...
We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and pro...
We present a very simple bijective proof of Cayley's formula due to Foata and Fuchs (1970). This bij...
We found an exact formulation for a finite sub-tree counting problem. Solution to two extremal cases...
We found an exact formulation for a finite sub-tree counting problem. Solution to two extremal cases...
We showed that one form of generalized Catalan numbers is the solution to the problem of finding dif...
In this paper, we consider a problem on finding the number of different single connected component c...
The Catalan numbers form one of the more frequently encountered counting sequences in combinatorics....
In this paper, we explore some of the methods that are often used to solve combinatorial problems by...
Borel's triangle is a triangular array of numbers constructed by a transformation of the Catalan num...
In this paper, we explore some of the methods that are often used to solve combinatorial problems by...
We showed that one form of generalized Catalan numbers is the solution to the problem of finding dif...
AbstractCatalan numbers C(n)=1/(n+1)2nn enumerate binary trees and Dyck paths. The distribution of p...
We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and pro...
In these notes we discuss the earlier sections of a paper of Suri and Vassilvitskii, with the great ...
AbstractWe give a new proof of Cayley's formula, which states that the number of labeled trees on n ...
We calculate the exact number of contours of size n containing a fixed vertex in d-ary trees and pro...
We present a very simple bijective proof of Cayley's formula due to Foata and Fuchs (1970). This bij...