Improved McClelland and Koolen-Moulton Bounds for the Energy of Graphs

SRIDHARA G., KANNA M., JAGADEESH R., CANGÜL İ. N.

Scientia Magna, cilt.13, sa.1, ss.48-62, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1186/s13660-018-1927-0
  • Dergi Adı: Scientia Magna
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.48-62
  • Anahtar Kelimeler: Distance matrix, Distance spectrum, Bounds for distance energy of graph
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Let G be a graph with n vertices and m edges. The term energy of a graph G was introduced by I. Gutman in chemistry due to its relevance to the total p-electron energy of a carbon compound. An analogous energy E D( G), called the distance energy, was defined by Indulal et al. ( MATCH Commun. Math. Comput. Chem. 60: 461-472, 2008) in 2008. McClelland and Koolen-Moulton bounds for distance energy were established subsequently by Ramane et al. ( Kragujev. J. Math. 31: 59-68, 2008). The lower and upper bounds for E D( G) obtained in this paper are better than the McClelland and Koolen-Moulton bounds.