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• W2908745051 abstract "A (κ,τ)-regular set is a vertex subset S inducing a κ-regular subgraph such that every vertex out of S has τ neighbors in S. This article is an expository overview of the main results obtained for graphs with (κ,τ)-regular sets. The graphs with classical combinatorial structures, like perfect matchings, Hamilton cycles, efficient dominating sets, etc., are characterized by (κ,τ)-sets whose determination is equivalent to the determination of those classical combinatorial structures. The characterization of graphs with these combinatorial structures are presented. The determination of (κ,τ)-regular sets in a finite number of steps is deduced and the main spectral properties of graphs with these sets are described." @default.
• W2908745051 created "2019-01-25" @default.
• W2908745051 creator A5037652842 @default.
• W2908745051 date "2019-09-01" @default.
• W2908745051 modified "2023-10-09" @default.
• W2908745051 title "An overview of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll id=d1e322 altimg=si11.gif><mml:mrow><mml:mo>(</mml:mo><mml:mi>κ</mml:mi><mml:mo>,</mml:mo><mml:mi>τ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-regular sets and their applications" @default.
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• W2908745051 doi "https://doi.org/10.1016/j.dam.2018.12.020" @default.
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