Finite commutative rings whose unitary Cayley graphs have positive genus
From MaRDI portal
Publication:1657983
DOI10.1216/JCA-2018-10-2-275zbMath1393.05150OpenAlexW2887851755MaRDI QIDQ1657983
Publication date: 14 August 2018
Published in: Journal of Commutative Algebra (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jca/1534125829
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Structure of finite commutative rings (13M05) General commutative ring theory (13A99)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonplanarity of unit graphs and classification of the toroidal ones
- On the unitary Cayley graph of a ring
- Energy of unitary Cayley graphs and gcd-graphs
- Rings whose total graphs have genus at most one
- The energy of unitary Cayley graphs
- Zero-divisor graphs of genus one
- Rings whose zero-divisor graphs have positive genus
- Ring elements as sums of units.
- When a zero-divisor graph is planar or a complete \(r\)-partite graph
- Rings of order \(p^5\). I: Nonlocal rings
- On cycles in the sequence of unitary Cayley graphs
- Counting pure \(k\)-cycles in sequences of Cayley graphs
- Spectral properties of unitary Cayley graphs of finite commutative rings
- Some properties of unitary Cayley graphs
- On the unitary Cayley graph of a finite ring
- A generalization of the unit and unitary Cayley graphs of a commutative ring
- On the genus of generalized unit and unitary Cayley graphs of a commutative ring
- Planar zero-divisor graphs
- Properties of rings with a finite number of zero divisors
- Longest induced cycles in circulant graphs
- The graph genus problem is NP-complete
- Local Rings with Genus Two Zero Divisor Graph
- On the Genus of the Total Graph of a Commutative Ring
- Classification of Rings with Genus One Zero-Divisor Graphs
This page was built for publication: Finite commutative rings whose unitary Cayley graphs have positive genus