Fixation Probabilities on Complete Star and Bipartite Digraphs

<table>One complete star digraph <svg height="15.9" id="M37" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 19.0875 15.9" width="19.0875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q49 5 79 33.5t30 73.5q0 40 -30 60.5t-78 20.5q-64 0 -119 -45q-56 -44 -56 -108q0 -30 16.5 -58.5t40.5 -52.5l48 -49t40.5 -58t16.5 -69q0 -99 -82 -159q-83 -60 -201 -60q-80 0 -139 39q-58 39 -58 118q0 70 50 114q50 43 117 43q63 0 108.5 -40.5t54.5 -115.5z" id="x1D4AE"></path></g>
<g transform="matrix(.012,0,0,-.012,12.688,15.7)"><path d="M137 343l67 33q37 17 63 17q79 0 129.5 -53t50.5 -131q0 -92 -58 -156.5t-147 -64.5t-147 68t-58 182q0 63 17 119t43 95.5t61.5 72t69 52t67.5 31.5q62 22 128 33l6 -32q-56 -11 -108 -35q-149 -71 -184 -231zM227 337q-47 0 -95 -27q-6 -23 -6 -70q0 -93 36 -155.5
t96 -62.5q53 0 78 45.5t25 105.5q0 68 -35 116t-99 48z" id="x36"></path></g>
</svg> with intrinsic weights, the central vertex is indexed 1.    </table>

Discrete Dynamics in Nature and Society

Fixation Probabilities on Complete Star and Bipartite Digraphs

Figure 1