Chromatic Classes of 2-Connected <svg style="vertical-align:-3.186pt;width:83.199997px;" id="M1" height="19.25" version="1.1" viewBox="0 0 83.199997 19.25" width="83.199997" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(1.25,0,0,-1.25,0,19.25)"><g transform="translate(72,-56.6)"><text transform="matrix(1,0,0,-1,-71.95,59.83)"><tspan style="font-size: 17.93px; " x="0" y="0">(</tspan><tspan style="font-size: 17.93px; " x="5.9716892" y="0">𝑛</tspan><tspan style="font-size: 17.93px; " x="14.88439" y="0">,</tspan><tspan style="font-size: 17.93px; " x="22.344519" y="0">𝑛</tspan><tspan style="font-size: 17.93px; " x="35.238346" y="0">+</tspan><tspan style="font-size: 17.93px; " x="51.521507" y="0">4</tspan><tspan style="font-size: 17.93px; " x="60.48801" y="0">)</tspan></text></g></g></svg>-Graphs with Exactly Three Triangles and at Least Two Induced 4-Cycles

<table>Relative-closed family of 2-connected <svg height="13.45" id="M745" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 58.049999 13.45" width="58.049999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑛</tspan>
<tspan style="font-size: 12.50px; " x="10.37749" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="15.578738" y="0">𝑛</tspan>
<tspan style="font-size: 12.50px; " x="24.568396" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="35.92112" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="42.172619" y="0">)</tspan>
</text>
</g>
</g>
</svg>-graphs with exactly 3 triangles. The light lines of the graphs refer to the paths with edges not belong to any triangles.</table>

International Scholarly Research Notices

fig2

Figure 2

Figure 2: Chromatic Classes of 2-Connected <svg style="vertical-align:-3.186pt;width:83.199997px;" id="M1" height="19.25" version="1.1" viewBox="0 0 83.199997 19.25" width="83.199997" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(1.25,0,0,-1.25,0,19.25)"><g transform="translate(72,-56.6)"><text transform="matrix(1,0,0,-1,-71.95,59.83)"><tspan style="font-size: 17.93px; " x="0" y="0">(</tspan><tspan style="font-size: 17.93px; " x="5.9716892" y="0">𝑛</tspan><tspan style="font-size: 17.93px; " x="14.88439" y="0">,</tspan><tspan style="font-size: 17.93px; " x="22.344519" y="0">𝑛</tspan><tspan style="font-size: 17.93px; " x="35.238346" y="0">+</tspan><tspan style="font-size: 17.93px; " x="51.521507" y="0">4</tspan><tspan style="font-size: 17.93px; " x="60.48801" y="0">)</tspan></text></g></g></svg>-Graphs with Exactly Three Triangles and at Least Two Induced 4-Cycles 

International Scholarly Research Notices

Chromatic Classes of 2-Connected (𝑛,𝑛+4)-Graphs with Exactly Three Triangles and at Least Two Induced 4-Cycles

Figure 2

Chromatic Classes of 2-Connected -Graphs with Exactly Three Triangles and at Least Two Induced 4-Cycles