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- W2022782103 abstract "It is well known that certain graph-theoretic extremal questions play a central role in the study of communication network vulnerability. Herein we consider a generalization of some of the classical results in this area. We define a (p, Δ, δ, λ) graph as a graph having p points, maximum degree Δ, minimum degree Δ, and line connectivity λ. An arbitrary quadruple of integers (a, b, c, d) is called (p, Δ, δ, λ) realizable if there is a (p, Δ, δ, λ) graph with p = a, Δ = b, Δ = c, and λ = d. Necessary and sufficient conditions for a quadruple to be (p, Δ, δ, λ) realizable are derived." @default.
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- W2022782103 modified "2023-09-27" @default.
- W2022782103 title "Realizability ofp-point graphs with prescribed minimum degree, maximum degree, and line connectivity" @default.
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- W2022782103 doi "https://doi.org/10.1002/jgt.3190040404" @default.
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