# Further results on radial graphs

Kumarappan Kathiresan; G. Marimuthu

Discussiones Mathematicae Graph Theory (2010)

- Volume: 30, Issue: 1, page 75-83
- ISSN: 2083-5892

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topKumarappan Kathiresan, and G. Marimuthu. "Further results on radial graphs." Discussiones Mathematicae Graph Theory 30.1 (2010): 75-83. <http://eudml.org/doc/270943>.

@article{KumarappanKathiresan2010,

abstract = {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 of the graph and the maximum eccentricity is called the diameter of the graph. The radial graph R(G) based on G has the vertex set as in G, two vertices u and v are adjacent in R(G) if the distance between them in G is equal to the radius of G. If G is disconnected, then two vertices are adjacent in R(G) if they belong to different components. The main objective of this paper is to characterize graphs G with specified radius for its radial graph.},

author = {Kumarappan Kathiresan, G. Marimuthu},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {radius; diameter; radial graph},

language = {eng},

number = {1},

pages = {75-83},

title = {Further results on radial graphs},

url = {http://eudml.org/doc/270943},

volume = {30},

year = {2010},

}

TY - JOUR

AU - Kumarappan Kathiresan

AU - G. Marimuthu

TI - Further results on radial graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2010

VL - 30

IS - 1

SP - 75

EP - 83

AB - 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 of the graph and the maximum eccentricity is called the diameter of the graph. The radial graph R(G) based on G has the vertex set as in G, two vertices u and v are adjacent in R(G) if the distance between them in G is equal to the radius of G. If G is disconnected, then two vertices are adjacent in R(G) if they belong to different components. The main objective of this paper is to characterize graphs G with specified radius for its radial graph.

LA - eng

KW - radius; diameter; radial graph

UR - http://eudml.org/doc/270943

ER -

## References

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- [6] KM. Kathiresan and G. Marimuthu, A study on radial graphs, Ars Combin. (to appear). Zbl1249.05095
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