
Online Journal of Analytic Combinatorics
ISSN 1931-3365 (online)
The Online Journal of Analytic Combinatorics (OJAC) is a peer-reviewed electronic journal previously hosted by the University of Rochester and now published by Combinatorial Press. OJAC features research articles that span a broad spectrum of topics, including analysis, number theory, and combinatorics, with a focus on the convergence and interplay between these disciplines. The journal particularly welcomes submissions that incorporate one or more of the following elements: combinatorial results derived using analytic methods, analytic results achieved through combinatorial approaches, or a synthesis of combinatorics and analysis in either the methodologies or their applications
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- Research article
- https://doi.org/10.61091/ojac-1604
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-18 (Paper #4)
- Published: 31/12/2021
Every set of natural numbers determines a generating function convergent for
- Research article
- https://doi.org/10.61091/ojac-1603
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-11 (Paper #3)
- Published: 31/12/2021
We prove some combinatorial identities by an analytic method. We use the property that singular integrals of particular functions include binomial coefficients. In this paper, we prove combinatorial identities from the fact that two results of the particular function calculated as two ways using the residue theorem in the complex function theory are the same. These combinatorial identities are the generalization of a combinatorial identity that has been already obtained
- Research article
- https://doi.org/10.61091/ojac-1602
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-12 (Paper #2)
- Published: 31/12/2021
Bargraphs are column convex polyominoes, where the lower edge lies on a horizontal axis. We consider the inner site-perimeter, which is the total number of cells inside the bargraph that have at least one edge in common with an outside cell and obtain the generating function that counts this statistic. From this we find the average inner perimeter and the asymptotic expression for this average as the semi-perimeter tends to infinity. We finally consider those bargraphs where the inner site-perimeter is exactly equal to the area of the bargraph.
- Research article
- https://doi.org/10.61091/ojac-1601
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 16, 2021
- Pages: 1-12(Paper #1)
- Published: 31/12/2021
Let
The
The main purposes of this paper are to introduce the
- Research article
- https://doi.org/10.61091/ojac-1515
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 15, 2020
- Pages: 1-9 (Paper #15)
- Published: 31/12/2020
Let
- Research article
- https://doi.org/10.61091/ojac-1514
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 15, 2020
- Pages: 1-12 (Paper #14)
- Published: 31/12/2020
Hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we introduce and study Fibonacci-Pell hybrinomials, i.e. polynomials, which are a generalization of hybrid numbers of the Fibonacci type.
- Research article
- https://doi.org/10.61091/ojac-1513
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 15, 2020
- Pages: 1-12 (Paper #13)
- Published: 31/12/2020
The hub-integrity of a graph is given by the minimum of
- Research article
- https://doi.org/10.61091/ojac-1512
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 15, 2020
- Pages: 1-10 (Paper #12)
- Published: 31/12/2020
A graph
- Research article
- https://doi.org/10.61091/ojac-1511
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 15, 2020
- Pages: 1-23 (Paper #11)
- Published: 31/12/2020
The sums
In a series of former papers, we obtained limit functions which describe scaling properties of the Farey sequence of order
- Research article
- https://doi.org/10.61091/ojac-1510
- Full Text
- Online Journal of Analytic Combinatorics
- Issue 15, 2020
- Pages: 1-19 (Paper #10)
- Published: 31/12/2020
Bulgarian solitaire is played on
For the special case