Saturation Numbers for Linear Forests 2P4∪tP2∗

For a given graph F, graph G is called F-saturated if G does not contain a copy of F, but G+e has a copy of F, where e∉EG. The saturation number, denoted by satn,F, is the minimum size of a graph with order n in all F-saturated graphs. For n≥6t+22, this paper considers the saturation number of linea...

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Main Authors: Feifei Song, Yan Zou, Hengdi Su
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/6613393
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spelling doaj-c8a0390b8cce46c5a9f645c06c70c3e22021-05-17T00:01:19ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/6613393Saturation Numbers for Linear Forests 2P4∪tP2∗Feifei Song0Yan Zou1Hengdi Su2Department of Information & Computational ScienceDepartment of Management EngineeringDepartment of Information & Computational ScienceFor a given graph F, graph G is called F-saturated if G does not contain a copy of F, but G+e has a copy of F, where e∉EG. The saturation number, denoted by satn,F, is the minimum size of a graph with order n in all F-saturated graphs. For n≥6t+22, this paper considers the saturation number of linear forests 2P4∪tP2 and describes the extremal graph.http://dx.doi.org/10.1155/2021/6613393
collection DOAJ
language English
format Article
sources DOAJ
author Feifei Song
Yan Zou
Hengdi Su
spellingShingle Feifei Song
Yan Zou
Hengdi Su
Saturation Numbers for Linear Forests 2P4∪tP2∗
Mathematical Problems in Engineering
author_facet Feifei Song
Yan Zou
Hengdi Su
author_sort Feifei Song
title Saturation Numbers for Linear Forests 2P4∪tP2∗
title_short Saturation Numbers for Linear Forests 2P4∪tP2∗
title_full Saturation Numbers for Linear Forests 2P4∪tP2∗
title_fullStr Saturation Numbers for Linear Forests 2P4∪tP2∗
title_full_unstemmed Saturation Numbers for Linear Forests 2P4∪tP2∗
title_sort saturation numbers for linear forests 2p4∪tp2∗
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description For a given graph F, graph G is called F-saturated if G does not contain a copy of F, but G+e has a copy of F, where e∉EG. The saturation number, denoted by satn,F, is the minimum size of a graph with order n in all F-saturated graphs. For n≥6t+22, this paper considers the saturation number of linear forests 2P4∪tP2 and describes the extremal graph.
url http://dx.doi.org/10.1155/2021/6613393
work_keys_str_mv AT feifeisong saturationnumbersforlinearforests2p4tp2
AT yanzou saturationnumbersforlinearforests2p4tp2
AT hengdisu saturationnumbersforlinearforests2p4tp2
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