<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.30.1 (20130611.0131)
-->
<!-- Title: Petersen Pages: 1 -->
<svg width="260pt" height="706pt"
viewBox="0.00 0.00 260.00 706.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 702)">
<title>Petersen</title>
<polygon fill="white" stroke="white" points="-4,5 -4,-702 257,-702 257,5 -4,5"/>
<text text-anchor="middle" x="126" y="-52.8" font-family="Times,serif" font-size="14.00">Starting node: 5</text>
<text text-anchor="middle" x="126" y="-37.8" font-family="Times,serif" font-size="14.00">Path length: 3</text>
<text text-anchor="middle" x="126" y="-22.8" font-family="Times,serif" font-size="14.00">Allow cycles: 0</text>
<text text-anchor="middle" x="126" y="-7.8" font-family="Times,serif" font-size="14.00">Solutions: 12</text>
<!-- 1 -->
<g id="node1" class="node"><title>1</title>
<ellipse fill="none" stroke="black" cx="18" cy="-86" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-82.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 2 -->
<g id="node2" class="node"><title>2</title>
<ellipse fill="none" stroke="black" cx="90" cy="-86" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-82.3" font-family="Times,serif" font-size="14.00">8</text>
</g>
<!-- 1--2 -->
<g id="edge1" class="edge"><title>1--2</title>
<path fill="none" stroke="black" d="M36.3034,-86C47.1537,-86 61.0833,-86 71.8957,-86"/>
</g>
<!-- 3 -->
<g id="node3" class="node"><title>3</title>
<ellipse fill="none" stroke="black" cx="162" cy="-86" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-82.3" font-family="Times,serif" font-size="14.00">6</text>
</g>
<!-- 2--3 -->
<g id="edge2" class="edge"><title>2--3</title>
<path fill="none" stroke="black" d="M108.303,-86C119.154,-86 133.083,-86 143.896,-86"/>
</g>
<!-- 4 -->
<g id="node4" class="node"><title>4</title>
<ellipse fill="none" stroke="black" cx="234" cy="-86" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-82.3" font-family="Times,serif" font-size="14.00">9</text>
</g>
<!-- 3--4 -->
<g id="edge3" class="edge"><title>3--4</title>
<path fill="none" stroke="black" d="M180.303,-86C191.154,-86 205.083,-86 215.896,-86"/>
</g>
<!-- 5 -->
<g id="node5" class="node"><title>5</title>
<ellipse fill="none" stroke="black" cx="18" cy="-140" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-136.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 6 -->
<g id="node6" class="node"><title>6</title>
<ellipse fill="none" stroke="black" cx="90" cy="-140" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-136.3" font-family="Times,serif" font-size="14.00">8</text>
</g>
<!-- 5--6 -->
<g id="edge4" class="edge"><title>5--6</title>
<path fill="none" stroke="black" d="M36.3034,-140C47.1537,-140 61.0833,-140 71.8957,-140"/>
</g>
<!-- 7 -->
<g id="node7" class="node"><title>7</title>
<ellipse fill="none" stroke="black" cx="162" cy="-140" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-136.3" font-family="Times,serif" font-size="14.00">6</text>
</g>
<!-- 6--7 -->
<g id="edge5" class="edge"><title>6--7</title>
<path fill="none" stroke="black" d="M108.303,-140C119.154,-140 133.083,-140 143.896,-140"/>
</g>
<!-- 8 -->
<g id="node8" class="node"><title>8</title>
<ellipse fill="none" stroke="black" cx="234" cy="-140" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-136.3" font-family="Times,serif" font-size="14.00">1</text>
</g>
<!-- 7--8 -->
<g id="edge6" class="edge"><title>7--8</title>
<path fill="none" stroke="black" d="M180.303,-140C191.154,-140 205.083,-140 215.896,-140"/>
</g>
<!-- 9 -->
<g id="node9" class="node"><title>9</title>
<ellipse fill="none" stroke="black" cx="18" cy="-194" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-190.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 10 -->
<g id="node10" class="node"><title>10</title>
<ellipse fill="none" stroke="black" cx="90" cy="-194" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-190.3" font-family="Times,serif" font-size="14.00">8</text>
</g>
<!-- 9--10 -->
<g id="edge7" class="edge"><title>9--10</title>
<path fill="none" stroke="black" d="M36.3034,-194C47.1537,-194 61.0833,-194 71.8957,-194"/>
</g>
<!-- 11 -->
<g id="node11" class="node"><title>11</title>
<ellipse fill="none" stroke="black" cx="162" cy="-194" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-190.3" font-family="Times,serif" font-size="14.00">3</text>
</g>
<!-- 10--11 -->
<g id="edge8" class="edge"><title>10--11</title>
<path fill="none" stroke="black" d="M108.303,-194C119.154,-194 133.083,-194 143.896,-194"/>
</g>
<!-- 12 -->
<g id="node12" class="node"><title>12</title>
<ellipse fill="none" stroke="black" cx="234" cy="-194" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-190.3" font-family="Times,serif" font-size="14.00">2</text>
</g>
<!-- 11--12 -->
<g id="edge9" class="edge"><title>11--12</title>
<path fill="none" stroke="black" d="M180.303,-194C191.154,-194 205.083,-194 215.896,-194"/>
</g>
<!-- 13 -->
<g id="node13" class="node"><title>13</title>
<ellipse fill="none" stroke="black" cx="18" cy="-248" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-244.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 14 -->
<g id="node14" class="node"><title>14</title>
<ellipse fill="none" stroke="black" cx="90" cy="-248" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-244.3" font-family="Times,serif" font-size="14.00">8</text>
</g>
<!-- 13--14 -->
<g id="edge10" class="edge"><title>13--14</title>
<path fill="none" stroke="black" d="M36.3034,-248C47.1537,-248 61.0833,-248 71.8957,-248"/>
</g>
<!-- 15 -->
<g id="node15" class="node"><title>15</title>
<ellipse fill="none" stroke="black" cx="162" cy="-248" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-244.3" font-family="Times,serif" font-size="14.00">3</text>
</g>
<!-- 14--15 -->
<g id="edge11" class="edge"><title>14--15</title>
<path fill="none" stroke="black" d="M108.303,-248C119.154,-248 133.083,-248 143.896,-248"/>
</g>
<!-- 16 -->
<g id="node16" class="node"><title>16</title>
<ellipse fill="none" stroke="black" cx="234" cy="-248" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-244.3" font-family="Times,serif" font-size="14.00">4</text>
</g>
<!-- 15--16 -->
<g id="edge12" class="edge"><title>15--16</title>
<path fill="none" stroke="black" d="M180.303,-248C191.154,-248 205.083,-248 215.896,-248"/>
</g>
<!-- 17 -->
<g id="node17" class="node"><title>17</title>
<ellipse fill="none" stroke="black" cx="18" cy="-302" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-298.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 18 -->
<g id="node18" class="node"><title>18</title>
<ellipse fill="none" stroke="black" cx="90" cy="-302" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-298.3" font-family="Times,serif" font-size="14.00">7</text>
</g>
<!-- 17--18 -->
<g id="edge13" class="edge"><title>17--18</title>
<path fill="none" stroke="black" d="M36.3034,-302C47.1537,-302 61.0833,-302 71.8957,-302"/>
</g>
<!-- 19 -->
<g id="node19" class="node"><title>19</title>
<ellipse fill="none" stroke="black" cx="162" cy="-302" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-298.3" font-family="Times,serif" font-size="14.00">9</text>
</g>
<!-- 18--19 -->
<g id="edge14" class="edge"><title>18--19</title>
<path fill="none" stroke="black" d="M108.303,-302C119.154,-302 133.083,-302 143.896,-302"/>
</g>
<!-- 20 -->
<g id="node20" class="node"><title>20</title>
<ellipse fill="none" stroke="black" cx="234" cy="-302" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-298.3" font-family="Times,serif" font-size="14.00">6</text>
</g>
<!-- 19--20 -->
<g id="edge15" class="edge"><title>19--20</title>
<path fill="none" stroke="black" d="M180.303,-302C191.154,-302 205.083,-302 215.896,-302"/>
</g>
<!-- 21 -->
<g id="node21" class="node"><title>21</title>
<ellipse fill="none" stroke="black" cx="18" cy="-356" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-352.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 22 -->
<g id="node22" class="node"><title>22</title>
<ellipse fill="none" stroke="black" cx="90" cy="-356" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-352.3" font-family="Times,serif" font-size="14.00">7</text>
</g>
<!-- 21--22 -->
<g id="edge16" class="edge"><title>21--22</title>
<path fill="none" stroke="black" d="M36.3034,-356C47.1537,-356 61.0833,-356 71.8957,-356"/>
</g>
<!-- 23 -->
<g id="node23" class="node"><title>23</title>
<ellipse fill="none" stroke="black" cx="162" cy="-356" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-352.3" font-family="Times,serif" font-size="14.00">9</text>
</g>
<!-- 22--23 -->
<g id="edge17" class="edge"><title>22--23</title>
<path fill="none" stroke="black" d="M108.303,-356C119.154,-356 133.083,-356 143.896,-356"/>
</g>
<!-- 24 -->
<g id="node24" class="node"><title>24</title>
<ellipse fill="none" stroke="black" cx="234" cy="-356" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-352.3" font-family="Times,serif" font-size="14.00">4</text>
</g>
<!-- 23--24 -->
<g id="edge18" class="edge"><title>23--24</title>
<path fill="none" stroke="black" d="M180.303,-356C191.154,-356 205.083,-356 215.896,-356"/>
</g>
<!-- 25 -->
<g id="node25" class="node"><title>25</title>
<ellipse fill="none" stroke="black" cx="18" cy="-410" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-406.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 26 -->
<g id="node26" class="node"><title>26</title>
<ellipse fill="none" stroke="black" cx="90" cy="-410" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-406.3" font-family="Times,serif" font-size="14.00">7</text>
</g>
<!-- 25--26 -->
<g id="edge19" class="edge"><title>25--26</title>
<path fill="none" stroke="black" d="M36.3034,-410C47.1537,-410 61.0833,-410 71.8957,-410"/>
</g>
<!-- 27 -->
<g id="node27" class="node"><title>27</title>
<ellipse fill="none" stroke="black" cx="162" cy="-410" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-406.3" font-family="Times,serif" font-size="14.00">2</text>
</g>
<!-- 26--27 -->
<g id="edge20" class="edge"><title>26--27</title>
<path fill="none" stroke="black" d="M108.303,-410C119.154,-410 133.083,-410 143.896,-410"/>
</g>
<!-- 28 -->
<g id="node28" class="node"><title>28</title>
<ellipse fill="none" stroke="black" cx="234" cy="-410" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-406.3" font-family="Times,serif" font-size="14.00">1</text>
</g>
<!-- 27--28 -->
<g id="edge21" class="edge"><title>27--28</title>
<path fill="none" stroke="black" d="M180.303,-410C191.154,-410 205.083,-410 215.896,-410"/>
</g>
<!-- 29 -->
<g id="node29" class="node"><title>29</title>
<ellipse fill="none" stroke="black" cx="18" cy="-464" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-460.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 30 -->
<g id="node30" class="node"><title>30</title>
<ellipse fill="none" stroke="black" cx="90" cy="-464" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-460.3" font-family="Times,serif" font-size="14.00">7</text>
</g>
<!-- 29--30 -->
<g id="edge22" class="edge"><title>29--30</title>
<path fill="none" stroke="black" d="M36.3034,-464C47.1537,-464 61.0833,-464 71.8957,-464"/>
</g>
<!-- 31 -->
<g id="node31" class="node"><title>31</title>
<ellipse fill="none" stroke="black" cx="162" cy="-464" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-460.3" font-family="Times,serif" font-size="14.00">2</text>
</g>
<!-- 30--31 -->
<g id="edge23" class="edge"><title>30--31</title>
<path fill="none" stroke="black" d="M108.303,-464C119.154,-464 133.083,-464 143.896,-464"/>
</g>
<!-- 32 -->
<g id="node32" class="node"><title>32</title>
<ellipse fill="none" stroke="black" cx="234" cy="-464" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-460.3" font-family="Times,serif" font-size="14.00">3</text>
</g>
<!-- 31--32 -->
<g id="edge24" class="edge"><title>31--32</title>
<path fill="none" stroke="black" d="M180.303,-464C191.154,-464 205.083,-464 215.896,-464"/>
</g>
<!-- 33 -->
<g id="node33" class="node"><title>33</title>
<ellipse fill="none" stroke="black" cx="18" cy="-518" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-514.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 34 -->
<g id="node34" class="node"><title>34</title>
<ellipse fill="none" stroke="black" cx="90" cy="-518" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-514.3" font-family="Times,serif" font-size="14.00">0</text>
</g>
<!-- 33--34 -->
<g id="edge25" class="edge"><title>33--34</title>
<path fill="none" stroke="black" d="M36.3034,-518C47.1537,-518 61.0833,-518 71.8957,-518"/>
</g>
<!-- 35 -->
<g id="node35" class="node"><title>35</title>
<ellipse fill="none" stroke="black" cx="162" cy="-518" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-514.3" font-family="Times,serif" font-size="14.00">4</text>
</g>
<!-- 34--35 -->
<g id="edge26" class="edge"><title>34--35</title>
<path fill="none" stroke="black" d="M108.303,-518C119.154,-518 133.083,-518 143.896,-518"/>
</g>
<!-- 36 -->
<g id="node36" class="node"><title>36</title>
<ellipse fill="none" stroke="black" cx="234" cy="-518" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-514.3" font-family="Times,serif" font-size="14.00">9</text>
</g>
<!-- 35--36 -->
<g id="edge27" class="edge"><title>35--36</title>
<path fill="none" stroke="black" d="M180.303,-518C191.154,-518 205.083,-518 215.896,-518"/>
</g>
<!-- 37 -->
<g id="node37" class="node"><title>37</title>
<ellipse fill="none" stroke="black" cx="18" cy="-572" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-568.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 38 -->
<g id="node38" class="node"><title>38</title>
<ellipse fill="none" stroke="black" cx="90" cy="-572" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-568.3" font-family="Times,serif" font-size="14.00">0</text>
</g>
<!-- 37--38 -->
<g id="edge28" class="edge"><title>37--38</title>
<path fill="none" stroke="black" d="M36.3034,-572C47.1537,-572 61.0833,-572 71.8957,-572"/>
</g>
<!-- 39 -->
<g id="node39" class="node"><title>39</title>
<ellipse fill="none" stroke="black" cx="162" cy="-572" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-568.3" font-family="Times,serif" font-size="14.00">4</text>
</g>
<!-- 38--39 -->
<g id="edge29" class="edge"><title>38--39</title>
<path fill="none" stroke="black" d="M108.303,-572C119.154,-572 133.083,-572 143.896,-572"/>
</g>
<!-- 40 -->
<g id="node40" class="node"><title>40</title>
<ellipse fill="none" stroke="black" cx="234" cy="-572" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-568.3" font-family="Times,serif" font-size="14.00">3</text>
</g>
<!-- 39--40 -->
<g id="edge30" class="edge"><title>39--40</title>
<path fill="none" stroke="black" d="M180.303,-572C191.154,-572 205.083,-572 215.896,-572"/>
</g>
<!-- 41 -->
<g id="node41" class="node"><title>41</title>
<ellipse fill="none" stroke="black" cx="18" cy="-626" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-622.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 42 -->
<g id="node42" class="node"><title>42</title>
<ellipse fill="none" stroke="black" cx="90" cy="-626" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-622.3" font-family="Times,serif" font-size="14.00">0</text>
</g>
<!-- 41--42 -->
<g id="edge31" class="edge"><title>41--42</title>
<path fill="none" stroke="black" d="M36.3034,-626C47.1537,-626 61.0833,-626 71.8957,-626"/>
</g>
<!-- 43 -->
<g id="node43" class="node"><title>43</title>
<ellipse fill="none" stroke="black" cx="162" cy="-626" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-622.3" font-family="Times,serif" font-size="14.00">1</text>
</g>
<!-- 42--43 -->
<g id="edge32" class="edge"><title>42--43</title>
<path fill="none" stroke="black" d="M108.303,-626C119.154,-626 133.083,-626 143.896,-626"/>
</g>
<!-- 44 -->
<g id="node44" class="node"><title>44</title>
<ellipse fill="none" stroke="black" cx="234" cy="-626" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-622.3" font-family="Times,serif" font-size="14.00">6</text>
</g>
<!-- 43--44 -->
<g id="edge33" class="edge"><title>43--44</title>
<path fill="none" stroke="black" d="M180.303,-626C191.154,-626 205.083,-626 215.896,-626"/>
</g>
<!-- 45 -->
<g id="node45" class="node"><title>45</title>
<ellipse fill="none" stroke="black" cx="18" cy="-680" rx="18" ry="18"/>
<text text-anchor="middle" x="18" y="-676.3" font-family="Times,serif" font-size="14.00">5</text>
</g>
<!-- 46 -->
<g id="node46" class="node"><title>46</title>
<ellipse fill="none" stroke="black" cx="90" cy="-680" rx="18" ry="18"/>
<text text-anchor="middle" x="90" y="-676.3" font-family="Times,serif" font-size="14.00">0</text>
</g>
<!-- 45--46 -->
<g id="edge34" class="edge"><title>45--46</title>
<path fill="none" stroke="black" d="M36.3034,-680C47.1537,-680 61.0833,-680 71.8957,-680"/>
</g>
<!-- 47 -->
<g id="node47" class="node"><title>47</title>
<ellipse fill="none" stroke="black" cx="162" cy="-680" rx="18" ry="18"/>
<text text-anchor="middle" x="162" y="-676.3" font-family="Times,serif" font-size="14.00">1</text>
</g>
<!-- 46--47 -->
<g id="edge35" class="edge"><title>46--47</title>
<path fill="none" stroke="black" d="M108.303,-680C119.154,-680 133.083,-680 143.896,-680"/>
</g>
<!-- 48 -->
<g id="node48" class="node"><title>48</title>
<ellipse fill="none" stroke="black" cx="234" cy="-680" rx="18" ry="18"/>
<text text-anchor="middle" x="234" y="-676.3" font-family="Times,serif" font-size="14.00">2</text>
</g>
<!-- 47--48 -->
<g id="edge36" class="edge"><title>47--48</title>
<path fill="none" stroke="black" d="M180.303,-680C191.154,-680 205.083,-680 215.896,-680"/>
</g>
</g>
</svg>