A Note on the Adversary Degree Associated Reconstruction Number of Graphs

Joint Authors

Jayasekaran, C.
Sundar Raj, S.
Monikandan, S.
Santhakumaran, A. P.

Source

Journal of Discrete Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-03-31

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Information Technology and Computer Science

Abstract EN

A vertex-deleted subgraph of a graph G is called a card of G.

A card of G with which the degree of the deleted vertex is also given is called a degree associated card (or dacard) of G.

The degree associated reconstruction number drn (G) of a graph G is the size of the smallest collection of dacards of G that uniquely determines G.

The adversary degree associated reconstruction number of a graph G, adrn(G), is the minimum number k such that every collection of k dacards of G that uniquely determines G.

In this paper, we show that adrn of wheels and complete bipartite graphs on at least 4 vertices is 2 or 3.

American Psychological Association (APA)

Monikandan, S.& Sundar Raj, S.& Jayasekaran, C.& Santhakumaran, A. P.. 2013. A Note on the Adversary Degree Associated Reconstruction Number of Graphs. Journal of Discrete Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-499711

Modern Language Association (MLA)

Monikandan, S.…[et al.]. A Note on the Adversary Degree Associated Reconstruction Number of Graphs. Journal of Discrete Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-499711

American Medical Association (AMA)

Monikandan, S.& Sundar Raj, S.& Jayasekaran, C.& Santhakumaran, A. P.. A Note on the Adversary Degree Associated Reconstruction Number of Graphs. Journal of Discrete Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-499711

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-499711