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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

On sum of powers of the signless Laplacian eigenvalues of graphs

Muhuo LIU
Bolian LIU
Sayfa
527–536
Yayın Tarihi
2022-10-18
DOI
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This note presents some properties and bounds for $S_alpha$(G) and IE(G).

📌 3 Maddede Bu Makale

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Amaç & Hipotez:For a graph G and a real number $alpha$ ( $alphaneq$ 0, 1), the graph invariant $S_alpha$(G) is the sum of the $alpha^{th}$ power of the signless Laplacian eigenvalues of G.
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Temel Bulgular & Veri:Let IE(G) denote the incidence energy of G, i.e., IE(G) = S1 2 (G).
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Sonuç & Katkı:This note presents some properties and bounds for $S_alpha$(G) and IE(G).
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

For a graph G and a real number $alpha$ ( $alphaneq$ 0, 1), the graph invariant $S_alpha$(G) is the sum of the $alpha^{th}$ power of the signless Laplacian eigenvalues of G. Let IE(G) denote the incidence energy of G, i.e., IE(G) = S1 2 (G). This note presents some properties and bounds for $S_alpha$(G) and IE(G).

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Bu Makaleye Atıf Yap

LIU, M., LIU, B. (2022). On sum of powers of the signless Laplacian eigenvalues of graphs. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 527–536. https://ajindex.com/articles/530470

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Kaynakça (19)

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