Sum-edge characteristic polynomials of graphs

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Oz M. S., Yamac C., Cangül İ. N.

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, cilt.13, ss.193-200, 2019 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/16583655.2018.1555989
  • Dergi Adı: JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.193-200
  • Anahtar Kelimeler: Graphs, adjacency, sum-edge characteristic polynomial, 05C50, 05C31, 05C38, 05C07
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Modelling a chemical compound by a (molecular) graph helps us to obtain some required information about the chemical and physical properties of the corresponding molecular structure. Linear algebraic notions and methods are used to obtain several properties of graphs usually by the help of some graph matrices and these studies form an important sub area of Graph Theory called spectral graph theory. In this paper, we deal with the sum-edge matrices defined by means of vertex degrees. We calculate the sum-edge characteristic polynomials of several important graph classes by means of the corresponding sum-edge matrices.