Energy of a maximal graph. (English) Zbl 1462.05242
Summary: In this paper we design a MATLAB program to obtain maximal graphs associated to rings \(\mathbb{Z}_n\) and compute their energy. This program expresses an intrinsic relationship between the elements of the ring \(\mathbb{Z}_n\) and its structural properties of graphs. In addition, the maximal graph gives a class of graphs whose line graph is hyperenergetic.
MSC:
| 05C50 | Graphs and linear algebra (matrices, eigenvalues, etc.) |
| 05C45 | Eulerian and Hamiltonian graphs |
| 05C35 | Extremal problems in graph theory |
| 13M99 | Finite commutative rings |
Software:
MatlabReferences:
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