Some topological indices and graph properties

In this paper, by using the degree sequences of graphs, we present sufficient conditions for a graph to be Hamiltonian, traceable, Hamilton-connected or $k$-connected in light of numerous topological indices such as the eccentric connectivity index, the eccentric distance sum, the connective eccentr...

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Main Authors: Xiaomin Zhu, Lihua Feng, Minmin Liu, Weijun Liu, Yuqin Hu
Format: Article
Language:English
Published: University of Isfahan 2017-12-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://toc.ui.ac.ir/article_21467_d05e2410fc3d5c5560f3430866b8af0e.pdf
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author Xiaomin Zhu
Lihua Feng
Minmin Liu
Weijun Liu
Yuqin Hu
author_facet Xiaomin Zhu
Lihua Feng
Minmin Liu
Weijun Liu
Yuqin Hu
author_sort Xiaomin Zhu
collection DOAJ
description In this paper, by using the degree sequences of graphs, we present sufficient conditions for a graph to be Hamiltonian, traceable, Hamilton-connected or $k$-connected in light of numerous topological indices such as the eccentric connectivity index, the eccentric distance sum, the connective eccentricity index.
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spelling doaj.art-309633b970104dffad9bb785b71a32c52022-12-21T18:54:22ZengUniversity of IsfahanTransactions on Combinatorics2251-86572251-86652017-12-0164516510.22108/toc.2017.2146721467Some topological indices and graph propertiesXiaomin Zhu0Lihua Feng1Minmin Liu2Weijun Liu3Yuqin Hu4College of Science, Nantong University, Nantong, ChinaSchool of Mathematics and Statistics, Central South University New Campus, Changsha, Hunan, China.School of Mathematics and Statistics, Central South University New Campus, Changsha, Hunan, China.School of Science, Nantong University, Nantong,226019, China,School of Mathematics and Statistics, Central South University New Campus, Changsha, Hunan, China.In this paper, by using the degree sequences of graphs, we present sufficient conditions for a graph to be Hamiltonian, traceable, Hamilton-connected or $k$-connected in light of numerous topological indices such as the eccentric connectivity index, the eccentric distance sum, the connective eccentricity index.http://toc.ui.ac.ir/article_21467_d05e2410fc3d5c5560f3430866b8af0e.pdfTopological indicesdegree sequencesgraph properties
spellingShingle Xiaomin Zhu
Lihua Feng
Minmin Liu
Weijun Liu
Yuqin Hu
Some topological indices and graph properties
Transactions on Combinatorics
Topological indices
degree sequences
graph properties
title Some topological indices and graph properties
title_full Some topological indices and graph properties
title_fullStr Some topological indices and graph properties
title_full_unstemmed Some topological indices and graph properties
title_short Some topological indices and graph properties
title_sort some topological indices and graph properties
topic Topological indices
degree sequences
graph properties
url http://toc.ui.ac.ir/article_21467_d05e2410fc3d5c5560f3430866b8af0e.pdf
work_keys_str_mv AT xiaominzhu sometopologicalindicesandgraphproperties
AT lihuafeng sometopologicalindicesandgraphproperties
AT minminliu sometopologicalindicesandgraphproperties
AT weijunliu sometopologicalindicesandgraphproperties
AT yuqinhu sometopologicalindicesandgraphproperties