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Subsemi-Eulerian graphs.

Suffel, Charles, Tindell, Ralph, Hoffman, Cynthia, Mandell, Manachem (1982)

International Journal of Mathematics and Mathematical Sciences

Sufficient conditions on the existence of factors in graphs involving minimum degree

Huicai Jia, Jing Lou (2024)

Czechoslovak Mathematical Journal

For a set { A , B , C , ... } of graphs, an { A , B , C , ... } -factor of a graph G is a spanning subgraph F of G , where each component of F is contained in { A , B , C , ... } . It is very interesting to investigate the existence of factors in a graph with given minimum degree from the prospective of eigenvalues. We first propose a tight sufficient condition in terms of the Q -spectral radius for a graph involving minimum degree to contain a star factor. Moreover, we also present tight sufficient conditions based on the Q -spectral radius and the distance...

Sum of squares of degrees in a graph.

Ábrego, Bernardo M., Fernández-Merchant, Silvia, Neubauer, Michael G., Watkins, William (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Sur certaines équations fonctionnelles arithmétiques

Régis de La Bretèche, Gérald Tenenbaum (2000)

Annales de l'institut Fourier

Soit p k le k -ième nombre premier. Une fonction arithmétique complètement additive est définie sur * par la donnée des f ( p k ) et la formule f ( n ) = k 1 f ( p k ) v p k ( n ) ( n 1 ) , où v p désigne la...

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