On the locating matrix of a graph and its spectral analysis
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2023-09-11 08:54
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519.1 (116)
Analiză combinatorică. Teoria grafurilor (114)
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RAMASWAMY, H. N., ALWARDI, Anwar, RAVI KUMAR, N.. On the locating matrix of a graph and its spectral analysis. In: Computer Science Journal of Moldova, 2017, nr. 3(75), pp. 260-277. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 3(75) / 2017 / ISSN 1561-4042 /ISSNe 2587-4330

On the locating matrix of a graph and its spectral analysis

CZU: 519.1

Pag. 260-277

Ramaswamy H. N.1, Alwardi Anwar2, Ravi Kumar N.3
 
1 University of Mysore,
2 University of Aden,
3 Government First Grade College
 
 
Disponibil în IBN: 25 decembrie 2017


Rezumat

We introduce a new matrix representation for a graph by defining the locating matrix Lo(G) of G. We define the locating eigenvalues, the locating spectrum, and locating energy of the graph and we calculate them for some standard graphs. We also obtain bounds for the locating energy for regular and strongly regular graphs.

Cuvinte-cheie
Locating eigenvalues (of graph), Locating Spect- rum (of graph), Locating energy (of graph).