Laplacian and signless laplacian spectra and energies of multi-step wheels
Copyright policy )Laplacian and signless laplacian spectra and energies of multi-step wheels
<abstract> <p>Energies and spectrum of graphs associated to different linear operators play a significant role in molecular chemistry, polymerisation, pharmacy, computer networking and communication systems. In current article, we compute closed forms of signless Laplacian and Laplacian spectra and energies of multi-step wheel networks <italic>W</italic><sub><italic>n</italic>, <italic>m</italic></sub>. These wheel networks are useful in networking and communication, as every node is one hoop neighbour to other. We also present our results for wheel graphs as particular cases. In the end, correlation of these energies on the involved parameters <italic>m</italic> ≥ 3 and <italic>n</italic> is given graphically. Present results are the natural generalizations of the already available results in the literature.</p> </abstract>
- Anhui Jianzhu University China (People's Republic of)
- COMSATS University Islamabad Pakistan
- Anhui Xinhua University China (People's Republic of)
- University of Education Pakistan
- University of Okara Pakistan
Chiroptical Spectroscopy in Organic Compound Analysis, Applications of graph theory, signless Laplacian energy, signless Laplacian matrix, Laplacian energy, Quantum mechanics, spectrum, laplacian matrix, wheel graphs, QA1-939, FOS: Mathematics, signless laplacian energy, Spectroscopy, Chemical graph theory, Graph Spectra, Graphs and linear algebra (matrices, eigenvalues, etc.), Physics, Graph Spectra and Topological Indices, signless laplacian matrix, laplacian energy, Chemistry, Computational Theory and Mathematics, Combinatorics, Graph theory (including graph drawing) in computer science, Physical Sciences, Computer Science, Geometry and Topology, Laplacian matrix, TP248.13-248.65, Mathematics, Biotechnology, Computational Methods in Drug Discovery, Spectral line
Chiroptical Spectroscopy in Organic Compound Analysis, Applications of graph theory, signless Laplacian energy, signless Laplacian matrix, Laplacian energy, Quantum mechanics, spectrum, laplacian matrix, wheel graphs, QA1-939, FOS: Mathematics, signless laplacian energy, Spectroscopy, Chemical graph theory, Graph Spectra, Graphs and linear algebra (matrices, eigenvalues, etc.), Physics, Graph Spectra and Topological Indices, signless laplacian matrix, laplacian energy, Chemistry, Computational Theory and Mathematics, Combinatorics, Graph theory (including graph drawing) in computer science, Physical Sciences, Computer Science, Geometry and Topology, Laplacian matrix, TP248.13-248.65, Mathematics, Biotechnology, Computational Methods in Drug Discovery, Spectral line
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