Scopus
YÖKSİS Eşleşti
On a novel eccentricity-based invariant of a graph
Acta Mathematica Sinica English Series · Aralık 2016
YÖKSİS Kayıtları
On a novel eccentricity based invariant of a graph
Acta Mathematica Sinica, English Series · 2016 SCI-Expanded
PROFESÖR AYŞE DİLEK MADEN →
Makale Bilgileri
DergiActa Mathematica Sinica English Series
Yayın TarihiAralık 2016
Cilt / Sayfa32 · 1477-1493
Scopus ID2-s2.0-85013826872
Özet
In this paper, for the purpose of measuring the non-self-centrality extent of non-selfcentered graphs, a novel eccentricity-based invariant, named as non-self-centrality number (NSC number for short), of a graph G is defined as follows: N(G)=∑vivj∈V(G)|ei−ej| where the summation goes over all the unordered pairs of vertices in G and ei is the eccentricity of vertex vi in G, whereas the invariant will be called third Zagreb eccentricity index if the summation only goes over the adjacent vertex pairs of graph G. In this paper, we determine the lower and upper bounds on N(G) and characterize the corresponding graphs at which the lower and upper bounds are attained. Finally we propose some attractive research topics for this new invariant of graphs.
Yazarlar (3)
1
Ke Xiang Xu
2
Kinkar Ch Das
3
Ayşe Dilek Maden
Anahtar Kelimeler
diameter
Eccentricity
non-self-centered graph
non-self-centrality number
third Zagreb eccentricity index
Kurumlar
Nanjing University of Aeronautics and Astronautics
Nanjing China
Selçuk Üniversitesi
Selçuklu Turkey
Sungkyunkwan University
Seoul South Korea
Metrikler
29
Atıf
3
Yazar
5
Anahtar Kelime