The clique numbers of regular graphs of matrix algebras are finite
From MaRDI portal
Publication:732059
DOI10.1016/j.laa.2009.06.005zbMath1175.05079OpenAlexW2038603030MaRDI QIDQ732059
M. Jamaali, Saieed Akbari, Seyed Amin Seyed Fakhari
Publication date: 9 October 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.005
Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Units, groups of units (associative rings and algebras) (16U60)
Related Items (20)
ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT ⋮ On the chromatic number of structured Cayley graphs ⋮ Minimal prime ideals and cycles in annihilating-ideal graphs ⋮ On the Total Graph of a Ring and Its Related Graphs: A Survey ⋮ Graph of Linear Transformations Over $$\mathbb {R}$$ ⋮ Chromatic number and clique number of subgraphs of regular graph of matrix algebras ⋮ Automorphism group of the total graph over a matrix ring ⋮ Classification of the total and regular graphs of three-point sets ⋮ On total and regular graphs of a polynomial ⋮ On the independence number of regular graphs of matrix rings ⋮ Automorphisms of the total digraph for the ring of square matrices over a field ⋮ Generators of the automorphism group of a regular graph over a ring ⋮ Automorphisms of the total graph over upper triangular matrices ⋮ Automorphism group of rank-decreasing graph of matrices ⋮ On a generalization of the Hadwiger-Nelson problem ⋮ The sum of nonsingular matrices is often nonsingular ⋮ The unit graph of a left Artinian ring ⋮ Automorphisms of the subgroup-relation graph over the group of unit upper triangular matrices ⋮ When a total graph associated with a commutative ring is perfect? ⋮ On the chromatic number of regular graphs of matrix algebras
Cites Work
This page was built for publication: The clique numbers of regular graphs of matrix algebras are finite
