Maden et al. Journal of Inequalities and Applications 2014, 2014:424
http://www.journalofinequalitiesandapplications.com/content/2014/1/424
RETRAC TION
Open Access
Retraction: On the Kirchhoff matrix, a new
Kirchhoff index and the Kirchhoff energy
Ayse Dilek Maden1 , Ahmet Sinan Cevik1* , Ismail Naci Cangul2 and Kinkar C Das3
*
Correspondence:
[email protected]
1
Department of Mathematics,
Faculty of Science, Selçuk University,
Campus, Konya, 42075, Turkey
Full list of author information is
available at the end of the article
This article [] has been retracted by Professor Ravi P Agarwal, Editor-in-Chief of the
Journal of Inequalities and Applications.
After publication it became clear that the paper had been submitted without the consent, knowledge and acknowledgement of Betul Acar.
The authors Ayse Maden, Ahmet Cevik, Ismail Cangul and Kinkar C Das acknowledge
that they failed to obtain agreement with Betul Acar or to acknowledge her work, resulting
in an unfair representation of her ideas and thoughts. All those involved have agreed to
this retraction.
Author details
1
Department of Mathematics, Faculty of Science, Selçuk University, Campus, Konya, 42075, Turkey. 2 Department of
Mathematics, Faculty of Arts and Science, Uludag University, Gorukle Campus, Bursa, 16059, Turkey. 3 Department of
Mathematics, Sungkyunkwan University, Suwon, 440-746, Republic of Korea.
Received: 23 September 2014 Accepted: 23 September 2014 Published: 23 Oct 2014
References
1. Maden, AD, Cevik, AS, Cangul, IN, Das, KC: On the Kirchhoﬀ matrix, a new Kirchhoﬀ index and the Kirchhoﬀ energy.
J. Inequal. Appl. 2013, 337 (2013)
10.1186/1029-242X-2014-424
Cite this article as: Maden et al.: Retraction: On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy.
Journal of Inequalities and Applications 2014, 2014:424
©2014 Maden et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in
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