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2014 | 34 | 4 | 829-848
Tytuł artykułu

Characterization Of Super-Radial Graphs

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In a graph G, the distance d(u, v) between a pair of vertices u and v is the length of a shortest path joining them. The eccentricity e(u) of a vertex u is the distance to a vertex farthest from u. The minimum eccentricity is called the radius, r(G), of the graph and the maximum eccentricity is called the diameter, d(G), of the graph. The super-radial graph R*(G) based on G has the vertex set as in G and two vertices u and v are adjacent in R*(G) if the distance between them in G is greater than or equal to d(G) − r(G) + 1 in G. If G is disconnected, then two vertices are adjacent in R*(G) if they belong to different components. A graph G is said to be a super-radial graph if it is a super-radial graph R*(H) of some graph H. The main objective of this paper is to solve the graph equation R*(H) = G for a given graph G.
Słowa kluczowe
Wydawca
Rocznik
Tom
34
Numer
4
Strony
829-848
Opis fizyczny
Daty
wydano
2014-11-01
otrzymano
2013-06-25
poprawiono
2013-10-28
zaakceptowano
2013-12-04
online
2014-11-15
Twórcy
  • Center for Research and Post Graduate Studies in Mathematics Ayya Nadar Janaki Ammal College Sivakasi-626 124,Tamil Nadu, India, kathir2esan@yahoo.com
autor
  • Center for Research and Post Graduate Studies in Mathematics Ayya Nadar Janaki Ammal College Sivakasi-626 124,Tamil Nadu, India, parames65c@yahoo.com
Bibliografia
  • [1] J. Akiyama, K. Ando and D. Avis, Eccentric graphs, Discrete Math. 56 (1985) 1-6. doi:10.1016/0012-365X(85)90188-8
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  • [3] R. Aravamuthan and B. Rajendran, On antipodal graphs, Discrete Math. 49 (1984) 193-195. doi:10.1016/0012-365X(84)90117-1
  • [4] R. Aravamuthan and B. Rajendran, A note on antipodal graphs, Discrete Math. 58 (1986) 303-305. doi:10.1016/0012-365X(86)90148-2
  • [5] F. Buckley and F. Harary, Distance in Graphs (Addition-Wesley, Reading, 1990).
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  • [9] G. Johns, A simple proof of the characterization of antipodal graphs, Discrete Math. 128 (1994) 399-400. doi:10.1016/0012-365X(94)90131-7
  • [10] Iqbalunnisa, T.N. Janakiraman and N. Srinivasan, On antipodal eccentric and supereccentric graph of a graph, J. Ramanujan Math. Soc. 4(2) (1989) 145-161.
  • [11] J. Boland, F. Buckley and M. Miller, Eccentric digraphs, Discrete Math. 286 (2004) 25-29. doi:10.1016/j.disc.2003.11.041
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  • Inst. Combin. Appl. 45 (2005) 41-50.
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  • [14] KM. Kathiresan and G. Marimuthu, A study on radial graphs, Ars Combin. 96 (2010) 353-360.
  • [15] KM. Kathiresan and G. Marimuthu, Further results on radial graphs, Discuss. Math. Graph Theory 30 (2010) 75-83. doi:10.7151/dmgt.1477
  • [16] KM. Kathiresan, G. Marimuthu and S. Arockiaraj, Dynamics of radial graphs, Bull. Inst. Combin. Appl. 57 (2009) 21-28.
  • [17] KM. Kathiresan and R. Sumathi, Radial digraphs, Kragujevac J. Math. 34 (2010) 161-170.
  • [18] KM. Kathiresan, S. Arockiaraj and C. Parameswaran, Characterization of supereccentric graphs, submitted.
  • [19] M.I. Huilgol, S.A.S. Ulla and A.R. Sunilchandra, On eccentric digraphs of graphs, Appl. Math. 2 (2011) 705-710. doi:10.4236/am.2011.26093
  • [20] N. López, A generalization of digraph operators related to distance properties in digraphs, Bulletin of the ICA 60 (2010) 49-61.
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_7151_dmgt_1769
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