Balanced Centrality of Networks

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="11"><hr/></td></tr><tr class="thead"><td align="left">Vertex</td><td align="center"><span style="width: 4.01614ptpx;"><svg height="12.4951pt" id="M400" style="vertical-align:-3.38835pt" version="1.1" viewbox="-0.0498162 -9.10675 4.01614 12.4951" width="4.01614pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M148 517C188 517 220 549 220 587C220 627 188 657 149 657C111 657 78 627 78 587C78 549 111 517 148 517ZM32 388C86 379 93 377 93 305V117C93 52 92 -12 89 -71C87 -105 83 -130 77 -142C70 -153 46 -160 2 -162C-12 -162 -22 -173 -22 -189C-22 -221 4 -244 18 -244C30 -244 38 -240 53 -229C77 -212 153 -128 193 -33C212 13 221 52 221 129V454C157 439 92 425 32 418V388Z" id="g13-104"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="288" vert-adv-y="288"></glyph.data></g></svg></span></td><td align="center"><span style="width: 13.1819ptpx;"><svg height="12.4951pt" id="M401" style="vertical-align:-3.38835pt" version="1.1" viewbox="-0.0498162 -9.10675 13.1819 12.4951" width="13.1819pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M687 0V35C623 43 611 56 577 144C512 316 450 490 386 665L335 652L130 138C97 54 84 43 18 35V0H242V35C169 44 166 58 181 106C193 146 206 182 217 213H409C424 173 439 130 449 100C465 56 460 44 401 35V0H687ZM390 266H234C260 337 285 410 313 483H316L390 266Z" id="g13-63"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="706" vert-adv-y="706"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,9.13,0)"><path d="M148 517C188 517 220 549 220 587C220 627 188 657 149 657C111 657 78 627 78 587C78 549 111 517 148 517ZM32 388C86 379 93 377 93 305V117C93 52 92 -12 89 -71C87 -105 83 -130 77 -142C70 -153 46 -160 2 -162C-12 -162 -22 -173 -22 -189C-22 -221 4 -244 18 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transform="matrix(.0095,0,0,-0.0095,9.565,-5.984)"><path d="M257 635C101 635 25 509 25 419C25 312 99 229 220 229C237 229 254 234 278 246L328 272C302 155 197 53 48 27L55 -15C99 -14 188 2 228 18C369 73 478 199 478 382C478 518 403 635 257 635ZM236 589C313 589 339 482 339 386C339 366 338 342 334 315C320 309 304 303 279 303C206 303 159 375 159 459C159 522 183 589 236 589Z" id="g22-55"></path><glyph.data ascent="1041" descent="-369" horiz-adv-x="507" vert-adv-y="507"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,14.889,0)"><path d="M148 517C188 517 220 549 220 587C220 627 188 657 149 657C111 657 78 627 78 587C78 549 111 517 148 517ZM32 388C86 379 93 377 93 305V117C93 52 92 -12 89 -71C87 -105 83 -130 77 -142C70 -153 46 -160 2 -162C-12 -162 -22 -173 -22 -189C-22 -221 4 -244 18 -244C30 -244 38 -240 53 -229C77 -212 153 -128 193 -33C212 13 221 52 221 129V454C157 439 92 425 32 418V388Z" id="g13-104"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="288" vert-adv-y="288"></glyph.data></g></svg></span></td></tr><tr><td class="thead-hr" colspan="11"><hr/></td></tr><tr><td align="left">8</td><td align="center">1</td><td align="center">3</td><td align="center">14</td><td align="center">44</td><td align="center">188</td><td align="center">610</td><td align="center">2458</td><td align="center">8236</td><td align="center">31932</td><td align="center">109672</td></tr><tr><td align="left"><span style="width: 13.1546ptpx;"><svg height="8.91176pt" id="M410" style="vertical-align:-0.2130003pt" version="1.1" viewbox="-0.0498162 -8.69876 13.1546 8.91176" width="13.1546pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,6.503,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g></svg></span></td><td align="center">1</td><td align="center">3</td><td align="center">14</td><td align="center">44</td><td align="center">188</td><td align="center">610</td><td align="center">2458</td><td align="center">8236</td><td align="center">31932</td><td align="center">109672</td></tr><tr><td align="left"><span style="width: 13.1546ptpx;"><svg height="8.74858pt" id="M411" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.69876 13.1546 8.74858" width="13.1546pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,6.503,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="480" vert-adv-y="480"></glyph.data></g></svg></span></td><td align="center">1</td><td align="center">4</td><td align="center">13</td><td align="center">60</td><td align="center">180</td><td align="center">774</td><td align="center">2452</td><td align="center">9928</td><td align="center">32882</td><td align="center">127860</td></tr><tr class="table-tr"><td colspan="11"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

International Scholarly Research Notices

tab1

Table 1

Table 1: Balanced Centrality of Networks 