Some results on graphs with at most two positive eigenvalues.
Petrović, Miroslav (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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Petrović, Miroslav (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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A. K. Dewdney, Frank Harary (1976)
Czechoslovak Mathematical Journal
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I.B. Lackovic, D.M. Cvetkovic (1976)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Gliviak, Ferdinand, Kyš, P. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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Ľubomír Šoltés (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Peter Hudák, Mária Maceková, Tomáš Madaras, Pavol Široczki (2016)
Discussiones Mathematicae Graph Theory
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A graph H is defined to be light in a graph family 𝒢 if there exist finite numbers φ(H, 𝒢) and w(H, 𝒢) such that each G ∈ 𝒢 which contains H as a subgraph, also contains its isomorphic copy K with ΔG(K) ≤ φ(H, 𝒢) and ∑x∈V(K) degG(x) ≤ w(H, 𝒢). In this paper, we investigate light graphs in families of plane graphs of minimum degree 2 with prescribed girth and no adjacent 2-vertices, specifying several necessary conditions for their lightness and providing sharp bounds on φ and w...