Bazı Graf Sınıflarında 1-Düzenli ve 2-Düzenli Ayrıt Bağlantılılık

Year 2023, Volume: 6 Issue: Ek Sayı, 415 - 425, 20.12.2023

İdris Çiftçi

https://doi.org/10.47495/okufbed.1211664

Abstract

Düzenli ayrıt bağlantılılık yeni bir koşullu bağlantılılık türü olup, bu kavram bağlantısız yapılan her parça grafın düzenli olması esasına dayanır. Bu çalışmada, hiperküp graflarında ve bir tam grafın yol, çevre ve bir tam grafla kartezyen çarpımından elde edilen graflarda 1-düzenli ve 2-düzenli ayrıt bağlantılılık incelenmiştir.

Keywords

Bağlantılılık, Koşullu Bağlantılılık, Ayrıt Bağlantılılık, Düzenli Ayrıt Bağlantılılık, 1-Düzenli Ayrıt Bağlantılılık, 2-Düzenli Ayrıt Bağlantılılık, Connectivity, Conditional Connectivity, Edge Connectivity, Regular Edge Connectivity, 1-Regular Edge Connectivity, 2-Regular Edge Connectivity

On 1-Regular and 2- Regular Edge Connectivity in Some Graph Classes

Abstract

Regular edge connectivity is a new type of conditional connectivity, and this concept is based on the regularity of every disconnected component graphs. In this study, 1-regular and 2-regular edge connectivity were investigated in hypercube graphs and graphs obtained from path, cycle and complete graphs with Cartesian product a complete graph.

Keywords

Connectivity, Conditional Connectivity, Edge Connectivity, Regular Edge Connectivity, 1-Regular Edge Connectivity, 2-Regular Edge Connectivity

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