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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
autor
  • Department of Mathematics The Madura College Madurai-625 011, Tamil Nadu, India
  • Center for Research and Post Graduate Studies in Mathematics Ayya Nadar Janaki Ammal College Sivakasi-626 124,Tamil Nadu, India

Bibliografia

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  • Inst. Combin. Appl. 45 (2005) 41-50.
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  • [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
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Typ dokumentu

Bibliografia

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bwmeta1.element.doi-10_7151_dmgt_1769
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