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Retracted Article: On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy
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Abstract
Abstract
The main purpose of this paper is to define and investigate the Kirchhoff matrix, a new Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a graph. In addition, we establish upper and lower bounds for these new indexes and energy. In the final section, we point out a new possible application area for graphs by considering this new Kirchhoff matrix. Since graph theoretical studies (including graph parameters) consist of some fixed point techniques, they have been applied in the fields such as chemistry (in the meaning of atoms, molecules, energy
etc.
) and engineering (in the meaning of signal processing
etc.
), game theory, and physics.
MSC:
05C12, 05C50, 05C90.
Springer Science and Business Media LLC
Title: Retracted Article: On the Kirchhoff matrix, a new Kirchhoff index and the Kirchhoff energy
Description:
Abstract
Abstract
The main purpose of this paper is to define and investigate the Kirchhoff matrix, a new Kirchhoff index, the Kirchhoff energy and the Kirchhoff Estrada index of a graph.
In addition, we establish upper and lower bounds for these new indexes and energy.
In the final section, we point out a new possible application area for graphs by considering this new Kirchhoff matrix.
Since graph theoretical studies (including graph parameters) consist of some fixed point techniques, they have been applied in the fields such as chemistry (in the meaning of atoms, molecules, energy
etc.
) and engineering (in the meaning of signal processing
etc.
), game theory, and physics.
MSC:
05C12, 05C50, 05C90.
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Retraction notice to: The special issue of filomat no. 34:15 (2020)
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Retraction of the special issue: FILOMAT 34:15 (2020) The First International
Conference on Advanced Robotics and Intelligent Control (ICARIC 2018).
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=== PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === Knowledge of the Problem and Intention to Act on Student Environmentally Responsible Behavior
=== PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === === PAPER RETRACTED === Knowledge of the Problem and Intention to Act on Student Environmentally Responsible Behavior
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