Log in

Relevant bibliographies by topics / Woodall Numbers

Contents

Journal articles
Book chapters
Conference papers

Academic literature on the topic 'Woodall Numbers'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Woodall Numbers.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Woodall Numbers"

1

P, Shanmudanantham, and Deepika T. "A Study on the Sum of 'm+1' Consecutive Woodall Numbers." Indian Journal of Science and Technology 16, no. 44 (2023): 3982–86. https://doi.org/10.17485/IJST/v16i44.2084.

Full text

Abstract:

Abstract <strong>Objectives:</strong> The Objective of this article is to find new formulas for Sums of m+1 Woodall Numbers and its matrix form. Here an attempt made to communicate the formula for Recursive Matrix form and some of its applications. <strong>Methods:</strong> Theorems are proved using the definitions of Woodall numbers. Some applications are also provided. Moreover, results are obtained by employing mathematical calculations and algebraic simplifications. Results are established by main theorems and their corollary and matrix representations. <strong>Findings

APA, Harvard, Vancouver, ISO, and other styles

2

Eren, Orhan, and Yuksel Soykan. "Gaussian Generalized Woodall Numbers." Archives of Current Research International 23, no. 8 (2023): 48–68. http://dx.doi.org/10.9734/acri/2023/v23i8611.

Full text

Abstract:

In this work, we define and investigate Gaussian generalized Woodall numbers in detail, and focus on four specific cases: Gaussian modified Woodall numbers, Gaussian modified Cullen numbers, Gaussian Woodall numbers, and Gaussian Cullen numbers. We present some identities and matrices related to these sequences, as well as recurrence relations, Binet’s formulas, generating functions, Simpson’s formulas, and summation formulas.

APA, Harvard, Vancouver, ISO, and other styles

3

Eren, Orhan, and Yuksel Soykan. "On Hyperbolic Generalized Woodall Numbers." Asian Journal of Advanced Research and Reports 18, no. 2 (2024): 43–69. http://dx.doi.org/10.9734/ajarr/2024/v18i2605.

Full text

Abstract:

In this study, we introduce the generalized hyperbolic Woodall numbers. As special cases, we study with hyperbolic Woodall, hyperbolic modified Woodall, hyperbolic Cullen numbers and hyperbolic modified Cullen numbers. We present Binet’s formulas, generating functions and the summation formulas for these numbers. Besides, we give Catalan’s and Cassini’s identities and present matrices related to these sequences.

APA, Harvard, Vancouver, ISO, and other styles

4

Eren, Orhan, and Yuksel Soykan. "On Dual Hyperbolic Generalized Woodall Numbers." Archives of Current Research International 24, no. 11 (2024): 398–423. http://dx.doi.org/10.9734/acri/2024/v24i11981.

Full text

Abstract:

In this work, we introduce the generalized dual hyperbolic Woodall numbers. As special cases, we study with dual hyperbolic Woodall, dual hyperbolic modified Woodall, dual hyperbolic Cullen numbers and dual hyperbolic modified Cullen numbers. Also, we present Binet’s formulas, generating functions, some identities, linear sums and matrices related with these sequences. In addition, we give Catalan’s and Cassini’s identities.

APA, Harvard, Vancouver, ISO, and other styles

5

Luca, Florian, and Igor E. Shparlinski. "Pseudoprime Cullen and Woodall numbers." Colloquium Mathematicum 107, no. 1 (2007): 35–43. http://dx.doi.org/10.4064/cm107-1-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Azami, Kazuki, and Shigenori Uchiyama. "Primality testing of Woodall numbers." JSIAM Letters 6 (2014): 1–4. http://dx.doi.org/10.14495/jsiaml.6.1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Bérczes, Attila, István Pink, and Paul Thomas Young. "Cullen numbers and Woodall numbers in generalized Fibonacci sequences." Journal of Number Theory 262 (September 2024): 86–102. http://dx.doi.org/10.1016/j.jnt.2024.03.006.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Shanmudanantham, P., and T. Deepika. "A Study on the Sum of ‘m+1’ Consecutive Woodall Numbers." Indian Journal Of Science And Technology 16, no. 44 (2023): 3982–86. http://dx.doi.org/10.17485/ijst/v16i44.2084.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Akkuş, Hakan, Bahar Kuloğlu, and Engin Özkan. "Analytical Characterization of Self-Similarity in k-Cullen Sequences Through Generating Functions and Fibonacci Scaling." Fractal and Fractional 9, no. 6 (2025): 380. https://doi.org/10.3390/fractalfract9060380.

Full text

Abstract:

In this study, we define the k-Cullen, k-Cullen–Lucas, and Modified k-Cullen sequences, and certain terms in these sequences are given. Then, we obtain the Binet formulas, generating functions, summation formulas, etc. In addition, we examine the relations among the terms of the k-Cullen, k-Cullen–Lucas, Modified k-Cullen, Cullen, Cullen–Lucas, Modified Cullen, k-Woodall, k-Woodall–Lucas, Modified k-Woodall, Woodall, Woodall–Lucas, and Modified Woodall sequences. The generating functions were derived and analyzed, especially for cases where Fibonacci numbers were assigned to parameter k. Graph

APA, Harvard, Vancouver, ISO, and other styles

10

FÜREDI, ZOLTAN, and DAVID S. GUNDERSON. "Extremal Numbers for Odd Cycles." Combinatorics, Probability and Computing 24, no. 4 (2014): 641–45. http://dx.doi.org/10.1017/s0963548314000601.

Full text

Abstract:

We describe theC2k+1-free graphs onnvertices with maximum number of edges. The extremal graphs are unique forn∉ {3k− 1, 3k, 4k− 2, 4k− 1}. The value ofex(n,C2k+1) can be read out from the works of Bondy [3], Woodall [14], and Bollobás [1], but here we give a new streamlined proof. The complete determination of the extremal graphs is also new.We obtain that the bound forn0(C2k+1) is 4kin the classical theorem of Simonovits, from which the unique extremal graph is the bipartite Turán graph.

APA, Harvard, Vancouver, ISO, and other styles

More sources

Book chapters on the topic "Woodall Numbers"

1

Soifer, Alexander. "Chromatic Number of the Plane Meets Map Coloring: Townsend–Woodall’s 5-Color Theorem." In The New Mathematical Coloring Book. Springer US, 2024. http://dx.doi.org/10.1007/978-1-0716-3597-1_25.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Soifer, Alexander. "Chromatic Number of the Plane Meets Map Coloring: Townsend–Woodall’s 5-Color Theorem." In The Mathematical Coloring Book. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-74642-5_24.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Abdi, Ahmad, Gérard Cornuéjols, Siyue Liu, and Olha Silina. "Strongly Connected Orientations and Integer Lattices." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-93112-3_1.

Full text

Abstract:

Abstract Let $$D\,=\,(V,A)$$ D = ( V , A ) be a digraph whose underlying graph is 2-edge-connected, and let P be the polytope whose vertices are the incidence vectors of arc sets whose reversal makes D strongly connected. We study the lattice theoretic properties of the integer points contained in a proper face F of P not contained in $$\{x:x_a=i\}$$ { x : x a = i } for any $$a\in A,i\in \{0,1\}$$ a ∈ A , i ∈ { 0 , 1 } . We prove under a mild necessary condition that $$F\cap \{0,1\}^A$$ F ∩ { 0 , 1 } A contains an integral basis B, i.e., B is linearly independent, and any integral vector in th

APA, Harvard, Vancouver, ISO, and other styles

4

Yee, David P., and Tim Hunkapiller. "Overview: A System for Tracking and Managing the Results from Sequence Comparison Programs." In Pattern Discovery in Biomolecular Data. Oxford University Press, 1999. http://dx.doi.org/10.1093/oso/9780195119404.003.0017.

Full text

Abstract:

The Human Genome Project was launched in the early 1990s to map, sequence, and study the function of genomes derived from humans and a number of model organisms such as mouse, rat, fruit fly, worm, yeast, and Escherichia coli. This ambitious project was made possible by advances in high-speed DNA sequencing technology (Hunkapiller et al., 1991). To date, the Human Genome Project and other large-scale sequencing projects have been enormously successful. The complete genomes of several microbes (such as Hemophilus influenzae Rd, Mycoplasma genitalium, and Methanococcus jannaschii) have been comp

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Woodall Numbers"

1

Park, Chi, Gregory Rogoff, and Brad Murray. "Tunnel Design and Construction in Ohio Shale Formation." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-1224.

Full text

Abstract:

ABSTRACT: The Doan Valley Tunnel Storage (DVT) Project is part of the Northeast Ohio Regional Sewer District's (NEORSD) Combined Sewer Overflow Long Term Control Plan (CSO-LTCP). The project involves the construction of a storage tunnel and conveyance tunnel system that will reduce the number of overflows from CSO outfalls that flow to Lake Erie. The Project includes the construction of three tunnel systems: Doan Valley Storage Tunnel (DVT), Martin Luther King Conveyance Tunnel (MLKCT), and the Woodhill Conveyance Tunnel (WCT). These systems include the construction of approximately 19,300 lin

APA, Harvard, Vancouver, ISO, and other styles

2

Ebaugh, Helen Rose, and Dogan Koc. "FUNDING GÜLEN-INSPIRED GOOD WORKS: DEMONSTRATING AND GENERATING COMMITMENT TO THE MOVEMENT." In Muslim World in Transition: Contributions of the Gülen Movement. Leeds Metropolitan University Press, 2007. http://dx.doi.org/10.55207/mvcf2951.

Full text

Abstract:

The projects sponsored by the Gülen-inspired movement are numerous, international and costly in terms of human and financial capital. Critics of the movement often question the fi- nancing of these initiatives – with some convinced of collusion with Middle Eastern govern- ments, others (within Turkey) suspicious that Western governments are financially backing the projects. Aware of these criticisms, in a recent comment to a group of visiting follow- ers, Fethullah Gülen indicated greater financial transparency must become a priority for the movement. This paper addresses the financing of Güle

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!