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1.0002747 0 0 1.0002747 72 793.8200073 cm
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Q
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[(First)-291(we)-292(obtain)-293(ne)24(w)-291(weight)-292(of)-292(a)-292(joint)-292(node)-292(\(let)-292(it)]TJ
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[(F)14(or)-362(obtaining)-364(this)-364(polynomial)-364(we)-364(need)-363(or)-364(obtain)-364(all)]TJ
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[(;)-166(:)-167(:)-167(:)-166(;)]TJ
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(7)Tj
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[(,)-398(that)-368(means)-369(solving)]TJ
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[(se)24(v)15(eral)-266(similar)-267(tasks)-267(on)-268(initial)-267(graph,)-271(or)-268(use)-267(results)-267(of)]TJ
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[(Section)-359(9.3.)-638(Really)64(,)-386(we)-359(can)-359(simplify)-360(obtaining)-359(sum)]TJ
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[(of)-362(all)-363(polynomials)-363(after)-362(considering)-363(graphs)]TJ
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(G)Tj
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[(C)-71(h)]TJ
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[(,)-227(where)]TJ
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34.27 0 Td
[(C)-71(h)]TJ
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14.86 -1.64 Td
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7.15 1.64 Td
[(is)-221(\(3-2-1-7\))-222(and)]TJ
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70.25 0 Td
[(C)-71(h)]TJ
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14.86 -1.64 Td
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-229.211 -10.81 Td
[(is)-344(\(4-4-5-6-7\).)-593(All)-345(needed)-344(polynomials)-344(are)-345(obtained)]TJ
T*
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10.12 -21.5 Td
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8.28 -1.64 Td
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4.25 0 Td
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[(C)-71(h)]TJ
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28.88 -1.64 Td
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4.73 1.64 Td
[(;)-166(p)]TJ
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5.49 4.5 Td
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4.73 -4.5 Td
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5.49 4.5 Td
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4.73 -4.5 Td
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5.49 4.5 Td
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4.73 -4.5 Td
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9.69 0 Td
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(p)Tj
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13.97 0 Td
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4.25 4.5 Td
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4.73 -4.5 Td
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4.73 -4.51 Td
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18.18 0 Td
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9.73 4.51 Td
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7.15 -4.51 Td
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8.48 0 Td
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28.88 -1.63 Td
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4.73 1.63 Td
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10.34 0 Td
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5.49 4.51 Td
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4.73 -4.51 Td
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4.73 -4.51 Td
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4.73 -4.51 Td
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9.69 0 Td
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4.73 -4.51 Td
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2.36 0 Td
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(R)Tj
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8.28 -1.64 Td
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8.96 1.64 Td
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4.25 0 Td
(G)Tj
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(n)Tj
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[(C)-71(h)]TJ
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28.88 -1.64 Td
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4.73 1.64 Td
[(;)-166(p)]TJ
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10.34 0 Td
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18.78 0 Td
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5.49 4.5 Td
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4.73 -4.5 Td
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5.49 4.5 Td
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4.73 -4.5 Td
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18.18 0 Td
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4.73 -4.5 Td
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9.69 0 Td
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(p)Tj
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13.97 0 Td
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7.15 -4.5 Td
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(p)Tj
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(p)Tj
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4.24 4.5 Td
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8.28 -2.22 Td
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(\(37\))Tj
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22.13 2.22 Td
(\()Tj
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[(G=C)-71(h)]TJ
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33.13 -1.64 Td
(2)Tj
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4.73 1.64 Td
[(;)-166(p)]TJ
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10.34 0 Td
[(\))-277(=)]TJ
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18.78 0 Td
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9.69 0 Td
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[(\))-222(+)]TJ
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(p)Tj
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4.24 4.5 Td
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(\(72\))Tj
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[(Then,)-250(using)-250(\(60\))-250(and)-250(\(61\))-250(we)-250(obtain)]TJ
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(X)Tj
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9.89 0 Td
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[(G;)-166(C)-72(h)]TJ
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32.52 -1.63 Td
(1)Tj
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4.73 1.63 Td
[(;)-167(p)]TJ
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[(\))-277(=)-278(2)]TJ
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[(G;)-166(C)-71(h)]TJ
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4.73 1.64 Td
[(;)-166(p)]TJ
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[(As)-263(all)]TJ
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(j)Tj
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11.48 1.64 Td
[(are)-263(included)-264(in)-263(these)-264(sums,)-267(we)-263(simply)]TJ
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[(summarize)-233(them)-234(adding)-234(1)-234(as)-233(weight)-234(of)]TJ
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170.511 0 Td
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5.28 -1.64 Td
(1)Tj
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4.74 1.64 Td
[(,)-236(and)-234(use)-234(\(8\))]TJ
-180.531 -12.45 Td
[(for)-250(equalizing)-250(po)24(wers)-249(of)-250(summands.)-310(Thus)]TJ
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(C)Tj
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8.58 0 Td
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[(G;)-166(p)]TJ
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[(\))-277(=)-278(7)]TJ
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47.38 0 Td
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4.73 -4.5 Td
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24.84 0 Td
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9.69 0 Td
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(p)Tj
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13.97 0 Td
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4.24 4.5 Td
(4)Tj
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4.73 -4.5 Td
(+121)Tj
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(p)Tj
/T1_4 7.97 Tf
30.33 4.5 Td
(3)Tj
/T1_5 10.91 Tf
4.73 -4.5 Td
(\(1)Tj
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(\241)Tj
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18.18 0 Td
(p)Tj
/T1_5 10.91 Tf
(\))Tj
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(5)Tj
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4.73 -4.5 Td
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(45)Tj
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(2)Tj
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(\(1)Tj
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9.69 0 Td
(\241)Tj
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(p)Tj
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13.97 0 Td
(\))Tj
/T1_4 7.97 Tf
4.24 4.5 Td
(6)Tj
/T1_5 10.91 Tf
4.74 -4.5 Td
(+10)Tj
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19.38 0 Td
(p)Tj
/T1_5 10.91 Tf
(\(1)Tj
/T1_6 10.91 Tf
(\241)Tj
/T1_2 10.91 Tf
23.67 0 Td
(p)Tj
/T1_5 10.91 Tf
(\))Tj
/T1_4 7.97 Tf
9.73 4.5 Td
(7)Tj
/T1_5 10.91 Tf
4.73 -4.5 Td
(+\(1)Tj
/T1_6 10.91 Tf
18.17 0 Td
(\241)Tj
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(p)Tj
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13.97 0 Td
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/T1_4 7.97 Tf
4.25 4.5 Td
(8)Tj
/T1_2 10.91 Tf
4.73 -4.5 Td
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/T1_0 10.91 Tf
-159.001 -21.5 Td
[(Numerical)-194(e)14(xperiments)-193(are)-195(out)-194(of)-194(scope)-195(of)-194(current)]TJ
-18.78 -12.45 Td
[(paper)54(.)-331(W)79(e)-257(can)-258(only)-257(mention)-258(that)-257(in)-258([12])-258(it)-257(w)9(as)-257(sho)24(wn)]TJ
T*
[(that)-401(our)-401(methodology)-402(allo)24(ws)-400(more)-401(than)-402(1000)-401(times)]TJ
T*
[(speeding)-245(up)-245(in)-245(obtaining)-245(A)110(TR-polynomial)-245(in)-245(compar)19(-)]TJ
0 -12.45 TD
[(ison)-250(with)-250(Maple)-250(11.)]TJ
/T1_8 14.34 Tf
0 -34.79 TD
(Conclusion)Tj
/T1_0 10.91 Tf
0 -23.74 TD
[(In)-213(this)-214(paper)-213(we)-214(sho)24(w)-213(that)-213(the)-214(same)-213(methodology)-214(may)]TJ
0 -12.45 TD
[(be)-436(applied)-436(to)-437(constructing)-436(algorithms)-437(for)-436(obtaining)]TJ
T*
[(polynomials)-218(for)-219(dif)24(ferent)-217(reliability)-219(indices)-218(of)-219(random)]TJ
0 -12.45 TD
[(graphs.)-580(Thorough)-340(e)14(xamination)-340(of)-340(structural)-340(particu-)]TJ
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