On graphs whose energy exceeds the number of vertices

Linear Algebra and Its Applications

Volumn 429, Issue 11-12, 2008, Pages 2670-2677

  Gutman, Ivan ^a  

^a UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

Energy (of graph); Graph spectrum

Indexed keywords

ENERGY (OF GRAPH); GRAPH SPECTRUM;

GRAPH THEORY;

EID: 52449084773     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.09.024     Document Type: Article

References (13)

1. Coulson C.A. On the calculation of the energy in unsaturated hydrocarbon molecules. Proc. Cambridge Phil. Soc. 36 (1940) 201-203
2. Cvetković D., Doob M., and Sachs H. Spectra of Graphs - Theory and Application. third ed. (1995), Johann Ambrosius Barth Verlag, Heidelberg, Leipzig
3. England W., and Ruedenberg K. Why is the delocalization energy negative and why is it proportional to the number of π electrons?. J. Amer. Chem. Soc. 95 (1973) 8769-8775
4. Fischermann M., Gutman I., Hoffmann A., Rautenbach D., Vidović D., and Volkmann L. Extremal chemical trees. Z. Naturforsch. 57a (2002) 49-52
5. Gutman I. The energy of a graph. Ber. Math.-Statist. Sekt. Forschungsz. Graz 103 (1978) 1-22
6. Gutman I. The energy of a graph: Old and new results. In: Betten A., Kohnert A., Laue R., and Wassermann A. (Eds). Algebraic Combinatorics and Applications (2001), Springer-Verlag, Berlin 196-211
7. Gutman I. Topology and stability of conjugated hydrocarbons. The dependence of total π-electron energy on molecular topology. J. Serb. Chem. Soc. 70 (2005) 441-456
8. Gutman I., and Cyvin S.J. Introduction to the Theory of Benzenoid Hydrocarbons (1989), Springer-Verlag, Berlin
9. Gutman I., and Polansky O.E. Mathematical Concepts in Organic Chemistry (1986), Springer-Verlag, Berlin
10. Gutman I., Zare Firoozabadi S., de la Peña J.A., and Rada J. On the energy of regular graphs. Match 57 (2007) 435-442
11. Rada J., and Tineo A. Upper and lower bounds for the energy of bipartite graphs. J. Math. Anal. Appl. 289 (2004) 446-455
12. Sachs H. Perfect matchings in hexagonal systems. Combinatorica 4 (1984) 89-99
13. Zhou B., Gutman I., de la Peña J.A., Rada J., and Mendoza L. On spectral moments and energy of graphs. Match 57 (2007) 183-191