Bounds for the Kirchhoff Index of Bipartite Graphs

<table><svg height="11.6125" id="M247" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.45 11.6125" width="11.45" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.55)"><use xlink:href="#x1D447"></use></g>
</svg> (a) and <svg height="17.7125" id="M248" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 15.6 17.7125" width="15.6" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,11.388,9.488)"><use xlink:href="#x2032"></use></g>
</svg> (b) in the proof of Subcase <a href="https://static.hindawi.com/articles/jam/volume-2012/195242/figures/#subcase2">2</a> of Claim <a href="https://static.hindawi.com/articles/jam/volume-2012/195242/figures/#claim2">2</a>.</table>

Journal of Applied Mathematics

Bounds for the Kirchhoff Index of Bipartite Graphs

Figure 3