Graph energies and their applications
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The energy E(G) of a graph G is the sum of absolute values of the
eigenvalues of the adjacency matrix of G. This spectral quantity was introduced in 1978 by
Ivan Gutman, but its extensive research started only twenty five years later. A large number
(over hundred) variants of graph energy have been proposed, based on matrices other than
the adjacency matrix. Research of these graph energies is nowadays very active, resulting in
well over a thousand publications. In recent years, more than two papers on graph energies
appear each week. Graph energies found a remarkable number of various applications. In
this paper, we outline some basic, mainly statistical, facts on the research of graph energies,
and point out their main applications.
Keywords:
energy (of graph) / spectrum (of graph) / spectrum (of matrix) / singular value (of matrix)Source:
Bulletin T.CLII de l’Académie serbe des sciences et des arts, 2019, 29-46Publisher:
- Beograd : Académie Serbe des sciences et des arts
Note:
- Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles. Sciences mathématiques. 44, 152 (2019).
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Cрпска академија наука и уметности / Serbian Academy of Sciences and ArtsTY - JOUR AU - Gutman, I. AU - Furtula, B. PY - 2019 UR - https://dais.sanu.ac.rs/123456789/12096 AB - The energy E(G) of a graph G is the sum of absolute values of the eigenvalues of the adjacency matrix of G. This spectral quantity was introduced in 1978 by Ivan Gutman, but its extensive research started only twenty five years later. A large number (over hundred) variants of graph energy have been proposed, based on matrices other than the adjacency matrix. Research of these graph energies is nowadays very active, resulting in well over a thousand publications. In recent years, more than two papers on graph energies appear each week. Graph energies found a remarkable number of various applications. In this paper, we outline some basic, mainly statistical, facts on the research of graph energies, and point out their main applications. PB - Beograd : Académie Serbe des sciences et des arts T2 - Bulletin T.CLII de l’Académie serbe des sciences et des arts T1 - Graph energies and their applications SP - 29 EP - 46 UR - https://hdl.handle.net/21.15107/rcub_dais_12096 ER -
@article{ author = "Gutman, I. and Furtula, B.", year = "2019", abstract = "The energy E(G) of a graph G is the sum of absolute values of the eigenvalues of the adjacency matrix of G. This spectral quantity was introduced in 1978 by Ivan Gutman, but its extensive research started only twenty five years later. A large number (over hundred) variants of graph energy have been proposed, based on matrices other than the adjacency matrix. Research of these graph energies is nowadays very active, resulting in well over a thousand publications. In recent years, more than two papers on graph energies appear each week. Graph energies found a remarkable number of various applications. In this paper, we outline some basic, mainly statistical, facts on the research of graph energies, and point out their main applications.", publisher = "Beograd : Académie Serbe des sciences et des arts", journal = "Bulletin T.CLII de l’Académie serbe des sciences et des arts", title = "Graph energies and their applications", pages = "29-46", url = "https://hdl.handle.net/21.15107/rcub_dais_12096" }
Gutman, I.,& Furtula, B.. (2019). Graph energies and their applications. in Bulletin T.CLII de l’Académie serbe des sciences et des arts Beograd : Académie Serbe des sciences et des arts., 29-46. https://hdl.handle.net/21.15107/rcub_dais_12096
Gutman I, Furtula B. Graph energies and their applications. in Bulletin T.CLII de l’Académie serbe des sciences et des arts. 2019;:29-46. https://hdl.handle.net/21.15107/rcub_dais_12096 .
Gutman, I., Furtula, B., "Graph energies and their applications" in Bulletin T.CLII de l’Académie serbe des sciences et des arts (2019):29-46, https://hdl.handle.net/21.15107/rcub_dais_12096 .