The Upper Bound for the Largest Signless Laplacian Eigenvalue of Weighted Graphs

BÜYÜKKÖSE Ş., Mutlu N.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.28, sa.4, ss.709-714, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 4
  • Basım Tarihi: 2015
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.709-714
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we find an upper bound for the largest signless Laplacian eigenvalue of simple connected weighted graphs, where edge weights are positive definite square matrices. Also we obtain some results on weighted and unweighted graphs by using this bound.