Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
On Omega Index and Average Degree of Graphs
Journal of Mathematics · Ocak 2021
YÖKSİS Kayıtları
On Omega Index and Average Degree of Graphs
Journal of Mathematics · 2021 SCI-Expanded
PROFESÖR AHMET SİNAN ÇEVİK →
Makale Bilgileri
DergiJournal of Mathematics
Yayın TarihiOcak 2021
Cilt / Sayfa2021
Scopus ID2-s2.0-85119954108
Erişim🔓 Açık Erişim
Özet
Average degree of a graph is defined to be a graph invariant equal to the arithmetic mean of all vertex degrees and has many applications, especially in determining the irregularity degrees of networks and social sciences. In this study, some properties of average degree have been studied. Effect of vertex deletion on this degree has been determined and a new proof of the handshaking lemma has been given. Using a recently defined graph index called omega index, average degree of trees, unicyclic, bicyclic, and tricyclic graphs have been given, and these have been generalized to k-cyclic graphs. Also, the effect of edge deletion has been calculated. The average degree of some derived graphs and some graph operations have been determined.
Yazarlar (4)
1
Sadik Delen
ORCID: 0000-0003-4689-3660
2
Musa Demirci
ORCID: 0000-0002-6439-8439
3
A. Sinan Çevik
4
I. Naci Cangül
Kurumlar
Bursa Uludağ Üniversitesi
Bursa Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
14
Atıf
4
Yazar