The tadpole graph Lg,t consists of a cycle Cg joined by an edge to an endpoint of the path Pt. In this paper we study some spectral properties of any unbalanced bipartite signed tadpole L_2(ℓ+1),t. It turns out that the switching equivalence class represented by L_2(ℓ+1),t is determined by its adjacency spectrum if and only if ℓ = 1 and t not in {7, 8, 10}.
WHICH UNBALANCED BIPARTITE TADPOLES ARE DETERMINED BY THEIR SPECTRUM? / Brunetti, Maurizio; Ciampella, Adriana. - (2026).
WHICH UNBALANCED BIPARTITE TADPOLES ARE DETERMINED BY THEIR SPECTRUM?
Maurizio Brunetti
;Adriana Ciampella
2026
Abstract
The tadpole graph Lg,t consists of a cycle Cg joined by an edge to an endpoint of the path Pt. In this paper we study some spectral properties of any unbalanced bipartite signed tadpole L_2(ℓ+1),t. It turns out that the switching equivalence class represented by L_2(ℓ+1),t is determined by its adjacency spectrum if and only if ℓ = 1 and t not in {7, 8, 10}.File in questo prodotto:
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