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On the spectral characterization of graphs with respect to the normalized Laplacian
- Sun, Shaowei;
- Sun, Xia;
- Das, Kinkar Chandra
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0초록
A graph G is said to be determined by its normalized Laplacian spectrum if there is no other non-isomorphic graph with the same normalized Laplacian spectrum. To date, only a limited number of graphs have been proven to possess this property. In this paper, we obtain a new class of graphs that are determined by their normalized Laplacian spectra. Our approach is based on a characterization of all connected n-vertex graphs whose third smallest normalized Laplacian eigenvalue is at least n n-1 . (c) 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
키워드
Normalized Laplacian spectrum; The third smallest eigenvalue; Spectral characterization; EIGENVALUES; FAMILY
- 제목
- On the spectral characterization of graphs with respect to the normalized Laplacian
- 저자
- Sun, Shaowei; Sun, Xia; Das, Kinkar Chandra
- 발행일
- 2026-06
- 유형
- Article
- 권
- 349
- 호
- 6