Scopus
YÖKSİS Eşleşti
Almost borderenergetic line graphs
Discrete Mathematics Algorithms and Applications · Mayıs 2025
YÖKSİS Kayıtları
Almost borderenergetic line graphs
Discrete Mathematics, Algorithms and Applications · 2025 ESCI
PROFESÖR AYŞE DİLEK MADEN →
Makale Bilgileri
DergiDiscrete Mathematics Algorithms and Applications
Yayın TarihiMayıs 2025
Cilt / Sayfa17
Scopus ID2-s2.0-105003029674
Özet
The energy of a graph is calculated by summing the absolute values of the eigenvalues found in its adjacency matrix. In this study, we present examples of line graphs with energy equivalent to the energy of a complete graph, which are called the borderenergetic graphs. As the examples of borderenergetic line graphs are rare, we introduce a new type of graphs called almost borderenergetic graphs whose energy differs from the borderenergetic energy by at most 1. In this paper, we begin by exploring the energy properties of line graphs derived from regular graphs and strongly regular graphs. Specifically, we establish a criterion for a line graph to exhibit borderenergetic characteristics when it consists of p many connected regular graphs and q many complete graphs, even when the original regular graph is disconnected. Additionally, we present a criterion for the line graph of a strongly regular graph to exhibit borderenergetic characteristics. To illustrate these concepts, we offer examples of connected borderenergetic graphs that are not necessarily complete. In the second part, we give the spectrum of the line graph of rK1∇K2, and show that it is an almost borderenergetic graph for r ≥ 5.
Yazarlar (2)
1
Cahit Dede
2
Ayşe Dilek Maden
Anahtar Kelimeler
almost borderenergetic graph
Borderenergetic graph
line graph
strongly regular graph
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
1
Atıf
2
Yazar
4
Anahtar Kelime