Component graphs of vector spaces and zero-divisor graphs of ordered sets
In this paper, nonzero component graphs and nonzero component union graphs of finite-dimensional vector spaces are studied using the zero-divisor graph of a specially constructed 0–1-distributive lattice and the zero-divisor graph of rings. Furthermore, we define an equivalence relation on nonzero c...
| Published in: | AKCE International Journal of Graphs and Combinatorics |
|---|---|
| Main Authors: | Nilesh Khandekar, Peter J. Cameron, Vinayak Joshi |
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-05-01
|
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2025.2449683 |
Similar Items
Topological Indices of Graphs from Vector Spaces
by: Krishnamoorthy Mageshwaran, et al.
Published: (2023-01-01)
by: Krishnamoorthy Mageshwaran, et al.
Published: (2023-01-01)
Eulerian and pancyclic zero-divisor graphs of ordered sets
by: Nilesh Khandekar, et al.
Published: (2024-09-01)
by: Nilesh Khandekar, et al.
Published: (2024-09-01)
On the comaximal graph of a ring
by: Pravin Gadge, et al.
Published: (2024-05-01)
by: Pravin Gadge, et al.
Published: (2024-05-01)
Exploring the Embedding of the Extended Zero-Divisor Graph of Commutative Rings
by: Ali Al Khabyah, et al.
Published: (2025-02-01)
by: Ali Al Khabyah, et al.
Published: (2025-02-01)
Brief survey on divisor graphs and divisor function graphs
by: Vignesh Ravi, et al.
Published: (2023-05-01)
by: Vignesh Ravi, et al.
Published: (2023-05-01)
Coloring of graph of ring with respect to idempotents
by: Avinash Patil, et al.
Published: (2025-12-01)
by: Avinash Patil, et al.
Published: (2025-12-01)
Classification of Zero Divisor Graphs of Commutative Rings of Degrees 11,12 and 13
by: Nazar Shuker, et al.
Published: (2014-07-01)
by: Nazar Shuker, et al.
Published: (2014-07-01)
Zero Divisor Graph of Quotient Ring
by: Ayunda Faizatul Musyarrofah, et al.
Published: (2024-11-01)
by: Ayunda Faizatul Musyarrofah, et al.
Published: (2024-11-01)
Vertex and region colorings of planar idempotent divisor graphs of commutative rings.
by: Mohammed Authman, et al.
Published: (2022-01-01)
by: Mohammed Authman, et al.
Published: (2022-01-01)
Classification of Zero Divisor Graphs of a Commutative Ring With Degree Equal 7 and 8
by: Nazar Shuker, et al.
Published: (2013-07-01)
by: Nazar Shuker, et al.
Published: (2013-07-01)
Degree Distance of Zero-Divisor Graph Г[Z_n ]
by: N.feyza Yalçın
Published: (2020-06-01)
by: N.feyza Yalçın
Published: (2020-06-01)
Star compressed zero divisors graph and
partitions of vector spaces
by: Hamid Reza Dorbidi
Published: (2023-10-01)
by: Hamid Reza Dorbidi
Published: (2023-10-01)
Non Deterministic Zero Divisor Graph
by: Shakila Banu, et al.
Published: (2023-12-01)
by: Shakila Banu, et al.
Published: (2023-12-01)
Commutative rings with ideal based zero divisor graph of orders 12,13 and 14
by: Raad Shukur, et al.
Published: (2024-12-01)
by: Raad Shukur, et al.
Published: (2024-12-01)
On the 2-absorbing ideals and zero divisor graph of equivalence classes op zero divisors
by: Sh. Payrovi, et al.
Published: (2014-06-01)
by: Sh. Payrovi, et al.
Published: (2014-06-01)
Quotient Energy of Zero Divisor Graphs And Identity Graphs
by: M. Lalitha Kumari, et al.
Published: (2023-03-01)
by: M. Lalitha Kumari, et al.
Published: (2023-03-01)
On Study of Multiset Dimension in Fuzzy Zero Divisor Graphs Associated with Commutative Rings
by: Nasir Ali, et al.
Published: (2024-11-01)
by: Nasir Ali, et al.
Published: (2024-11-01)
Ring Classification of Ideal-Based Zero Divisor Graph with Vertices 9
by: Husam Q. Mohammad, et al.
Published: (2025-03-01)
by: Husam Q. Mohammad, et al.
Published: (2025-03-01)
Exploring the structure and properties of ideal-based zero-divisor graphs in involution near rings
by: Masreshaw Walle Abate, et al.
Published: (2024-03-01)
by: Masreshaw Walle Abate, et al.
Published: (2024-03-01)
Extended Idempotent Divisor Graph of Zn
by: Husam mohammad, et al.
Published: (2024-12-01)
by: Husam mohammad, et al.
Published: (2024-12-01)
Radio Number Associated with Zero Divisor Graph
by: Ali N. A. Koam, et al.
Published: (2020-12-01)
by: Ali N. A. Koam, et al.
Published: (2020-12-01)
On Global Offensive Alliance in Zero-Divisor Graphs
by: Raúl Juárez Morales, et al.
Published: (2022-01-01)
by: Raúl Juárez Morales, et al.
Published: (2022-01-01)
On Zero-Divisor Graphs of <i>Z<sub>n</sub></i> When <i>n</i> Is Square-Free
by: Kholood Alnefaie, et al.
Published: (2025-02-01)
by: Kholood Alnefaie, et al.
Published: (2025-02-01)
Coprime divisors graphs and their coloring parameters
by: Mohamed Jorf, et al.
Published: (2024-07-01)
by: Mohamed Jorf, et al.
Published: (2024-07-01)
On the planarity of the k-zero-divisor hypergraphs
by: T. Tamizh Chelvam, et al.
Published: (2015-11-01)
by: T. Tamizh Chelvam, et al.
Published: (2015-11-01)
When metric and upper dimensions differ in zero divisor graphs of commutative rings
by: Shane Redmond, et al.
Published: (2021-02-01)
by: Shane Redmond, et al.
Published: (2021-02-01)
Reduced zero-divisor graphs of posets
by: Deiborlang Nongsiang, et al.
Published: (2018-06-01)
by: Deiborlang Nongsiang, et al.
Published: (2018-06-01)
The Zero Divisor Graph of the Ring Z_(2^2 p)
by: Nazar H. Shuker, et al.
Published: (2016-12-01)
by: Nazar H. Shuker, et al.
Published: (2016-12-01)
Minimal Reinhard Zumkeller divisor cordial graphs
by: A . Ruby Priscilla, et al.
Published: (2023-06-01)
by: A . Ruby Priscilla, et al.
Published: (2023-06-01)
Note on Ideal Based Zero-Divisor Graph of a Commutative Ring
by: Mallika A., et al.
Published: (2017-12-01)
by: Mallika A., et al.
Published: (2017-12-01)
Computation of eccentric topological indices of zero-divisor graphs based on their edges
by: Ali N. A. Koam, et al.
Published: (2022-04-01)
by: Ali N. A. Koam, et al.
Published: (2022-04-01)
On bipartite divisor graph for character degrees
by: Seyed Ali Moosavi
Published: (2017-03-01)
by: Seyed Ali Moosavi
Published: (2017-03-01)
Total perfect codes in graphs realized by commutative rings
by: Rameez Raja
Published: (2022-12-01)
by: Rameez Raja
Published: (2022-12-01)
Distance spectrum of some zero divisor graphs
by: Fareeha Jamal, et al.
Published: (2024-08-01)
by: Fareeha Jamal, et al.
Published: (2024-08-01)
Exploring the properties of the zero-divisor graph of direct product of $\ast$-rings
by: Mohd Nazim, et al.
Published: (2024-12-01)
by: Mohd Nazim, et al.
Published: (2024-12-01)
Zero Divisor Graph Of ZpM qr with Applications
by: Nazar Shuker, et al.
Published: (2020-12-01)
by: Nazar Shuker, et al.
Published: (2020-12-01)
A note on the zero divisor graph of a lattice
by: T. Tamizh Chelvam, et al.
Published: (2014-09-01)
by: T. Tamizh Chelvam, et al.
Published: (2014-09-01)
Construction Algorithm for Zero Divisor Graphs of Finite Commutative Rings and Their Vertex-Based Eccentric Topological Indices
by: Kashif Elahi, et al.
Published: (2018-12-01)
by: Kashif Elahi, et al.
Published: (2018-12-01)
Graph based on residuated lattices
by: L. Torkzadeh, et al.
Published: (2014-06-01)
by: L. Torkzadeh, et al.
Published: (2014-06-01)
On graphs with equal coprime index and clique number
by: Chetan Patil, et al.
Published: (2023-09-01)
by: Chetan Patil, et al.
Published: (2023-09-01)
Similar Items
-
Topological Indices of Graphs from Vector Spaces
by: Krishnamoorthy Mageshwaran, et al.
Published: (2023-01-01) -
Eulerian and pancyclic zero-divisor graphs of ordered sets
by: Nilesh Khandekar, et al.
Published: (2024-09-01) -
On the comaximal graph of a ring
by: Pravin Gadge, et al.
Published: (2024-05-01) -
Exploring the Embedding of the Extended Zero-Divisor Graph of Commutative Rings
by: Ali Al Khabyah, et al.
Published: (2025-02-01) -
Brief survey on divisor graphs and divisor function graphs
by: Vignesh Ravi, et al.
Published: (2023-05-01)
