The Kirchhoff Index of Hypercubes and Related Complex Networks
The Kirchhoff Index of Hypercubes and Related Complex Networks
The resistance distance between any two vertices of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>is defined as the network effective resistance between them if each edge of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>is replaced by a unit resistor. The Kirchhoff index Kf(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>) is the sum of resistance distances between all the pairs of vertices in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>. …