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author:

Bau, S. (Bau, S..) [1] | Dankelmann, P. (Dankelmann, P..) [2] | Henning, Michael A. (Henning, Michael A..) [3]

Indexed by:

Scopus SCIE

Abstract:

Chvatal and Thomassen (J. Combinatorial Theory Ser. B 24 (1978) 61-75) proved that, given a 2-edge-connected graph G, the problem of deciding whether G has an orientation of diameter 2 is NP-complete. In this note we show that this problem, if restricted to planar graphs, becomes simple. We show that only two planar graphs admit a strong orientation of diameter 2: the 3-cycle and the octahedron.

Keyword:

diameter planar graph strong orientation

Community:

  • [ 1 ] [Bau, S.]Fuzhou Univ, Coll Math & Comp Sci, Ctr Discrete Math, Fuzhou 350002, Peoples R China
  • [ 2 ] [Dankelmann, P.]Univ KwaZulu Natal, Sch Math Sci, ZA-4041 Durban, South Africa
  • [ 3 ] [Henning, Michael A.]Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

Reprint 's Address:

  • 宝升

    [Bau, S.]Fuzhou Univ, Coll Math & Comp Sci, Ctr Discrete Math, Ind Rd, Fuzhou 350002, Peoples R China

Email:

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Source :

UTILITAS MATHEMATICA

ISSN: 0315-3681

Year: 2009

Volume: 79

Page: 71-80

0 . 5 8 9

JCR@2009

0 . 2 7 9

JCR@2020

JCR Journal Grade:4

CAS Journal Grade:1

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: 0

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