On Connected 2-K n -Residual Graphs

Liao, Jiangdong; Yang, Shih-Hui; Deng, Yong

doi:10.1007/s00009-012-0230-4

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“…We know that these supporting results are summarized in residual graph [7][8][9][10][11][12][13][14][15][16]. In this paper, we will study the important properties of hyperplane complete graph in relain to the minimum order of hyperplane complete graph and the minimum graph of hyperplane complete graph.…”

Section: Introductionmentioning

confidence: 99%

On Connected m-HPK(n1,n2,n3,n4)
Duan
¹
,
Li
²

2013
Journal of Discrete Mathematics
0
0
0
0
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We definem-HPK(n1,n2,n3,n4)[Kt]-residual graphs in whichHPKis a hyperplane complete graph. We extend P. Erdös, F. Harary, and M. Klawe's definition of plane complete residual graph to hyperplane and obtain the hyperplane complete residual graph. Further, we obtain the minimum order ofHPK(n1,n2,n3,n4)[Kt]-residual graphs andm-HPK(n1,n2,n3,n4)[Kt]-residual graphs. In addition, we obtain a unique minimalHPK(n1,n2,n3,n4)[Kt]-residual graphs and a unique minimalm-HPK(n1,n2,n3,n4)[Kt]-residual graphs.

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Section: Introductionmentioning

confidence: 99%

On Connected m-HPK(n1,n2,n3,n4)
Duan
¹
,
Li
²

2013
Journal of Discrete Mathematics
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0
0
0
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Two Improvements on the Erdös, Harary and Klawe Conjecture

Liao

Yang

2014

Mediterr. J. Math.

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On Connected 2-K n -Residual Graphs

Cited by 2 publications

References 2 publications

On Connected m-HPK(n1,n2,n3,n4)
Duan
¹
,
Li
²

2013
Journal of Discrete Mathematics
0
0
0
0
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On Connected m-HPK(n1,n2,n3,n4)
Duan
¹
,
Li
²

2013
Journal of Discrete Mathematics
0
0
0
0
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Two Improvements on the Erdös, Harary and Klawe Conjecture

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On Connected 2-K n -Residual Graphs

Cited by 2 publications

References 2 publications

On Connected m-HPK(n1,n2,n3,n4)Duan1, Li2 2013Journal of Discrete Mathematics0000View full textAdd to dashboardCite

On Connected m-HPK(n1,n2,n3,n4)Duan1, Li2 2013Journal of Discrete Mathematics0000View full textAdd to dashboardCite

Two Improvements on the Erdös, Harary and Klawe Conjecture

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On Connected m-HPK(n1,n2,n3,n4)
Duan
¹
,
Li
²

2013
Journal of Discrete Mathematics
0
0
0
0
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On Connected m-HPK(n1,n2,n3,n4)
Duan
¹
,
Li
²

2013
Journal of Discrete Mathematics
0
0
0
0
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