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author:

Liu, Haiyang (Liu, Haiyang.) [1] | Liu, Qinghai (Liu, Qinghai.) [2] (Scholars:刘清海) | Hong, Yanmei (Hong, Yanmei.) [3] (Scholars:洪艳梅)

Indexed by:

Scopus SCIE

Abstract:

Hasunuma conjectured that for any tree of order m and for any k-connected (resp. k-edge-connected) graph G, if delta(G)>= k+m-1 then G contains a subgraph H congruent to T such that G-E(H) is k-connected (resp. k-edge-connected). Hasunuma verified the conjecture for k=1,2. In this paper, we confirm the conjecture when k=3.

Keyword:

Connectivity Subdivision Trees

Community:

  • [ 1 ] [Liu, Haiyang]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Liu, Qinghai]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350108, Fujian, Peoples R China
  • [ 3 ] [Liu, Qinghai]Fujian Sci & Technol Innovat Lab Optoelect Informa, Fuzhou 350100, Peoples R China
  • [ 4 ] [Hong, Yanmei]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China
  • [ 5 ] [Liu, Qinghai]Ctr Appl Math Fujian Provincen, Fuzhou 350108, Peoples R China
  • [ 6 ] [Hong, Yanmei]Ctr Appl Math Fujian Provincen, Fuzhou 350108, Peoples R China

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Source :

DISCRETE MATHEMATICS

ISSN: 0012-365X

Year: 2023

Issue: 12

Volume: 346

0 . 7

JCR@2023

0 . 7 0 0

JCR@2023

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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