Nested Graphs

Mark Korenblit; Vadim E. Levit

doi:10.1016/j.endm.2006.06.016

Nested Graphs

Mark Korenblit, Vadim E. Levit

Research output: Contribution to journal › Article › peer-review

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Abstract

We define a two-terminal directed acyclic graph (st-dag) characterized by a special structure of its mincuts and call it a nested graph. It is proved that every nested graph is series-parallel as well. We show that an st-dag of order n has exactly n - 1 mincuts if and only if it is nested.

Original language	English
Pages (from-to)	93-99
Number of pages	7
Journal	Electronic Notes in Discrete Mathematics
Volume	24
DOIs	https://doi.org/10.1016/j.endm.2006.06.016
State	Published - 15 Jul 2006
Externally published	Yes

Keywords

Mincut
directed acyclic graph
series-parallel graph

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10.1016/j.endm.2006.06.016

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title = "Nested Graphs",

abstract = "We define a two-terminal directed acyclic graph (st-dag) characterized by a special structure of its mincuts and call it a nested graph. It is proved that every nested graph is series-parallel as well. We show that an st-dag of order n has exactly n - 1 mincuts if and only if it is nested.",

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year = "2006",

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AB - We define a two-terminal directed acyclic graph (st-dag) characterized by a special structure of its mincuts and call it a nested graph. It is proved that every nested graph is series-parallel as well. We show that an st-dag of order n has exactly n - 1 mincuts if and only if it is nested.

KW - Mincut

KW - directed acyclic graph

KW - series-parallel graph

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EP - 99

JO - Electronic Notes in Discrete Mathematics

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Nested Graphs

Abstract

Keywords

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