It compute & display Distance Matrices & (Characteristic & Counting) Polynomials for vertex cutings for this molecule.
Di\{1} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16
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2 | 16 | 0 | 1 | 1 | 2 | 2 | 3 | 4 | 4 | 5
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3 | 16 | 1 | 0 | 1 | 2 | 2 | 3 | 4 | 4 | 5
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4 | 16 | 1 | 1 | 0 | 1 | 1 | 2 | 3 | 3 | 4
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5 | 16 | 2 | 2 | 1 | 0 | 1 | 1 | 2 | 2 | 3
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6 | 16 | 2 | 2 | 1 | 1 | 0 | 1 | 2 | 2 | 3
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7 | 16 | 3 | 3 | 2 | 1 | 1 | 0 | 1 | 1 | 2
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8 | 16 | 4 | 4 | 3 | 2 | 2 | 1 | 0 | 1 | 1
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9 | 16 | 4 | 4 | 3 | 2 | 2 | 1 | 1 | 0 | 1
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10 | 16 | 5 | 5 | 4 | 3 | 3 | 2 | 1 | 1 | 0 |
CoP(3_g1,[1]) =+1X0
ChP(3_g1,[1]) =+1X1
CoP(3_g1,[2 3 4 5 6 7 8 9 10]) =+4X5+10X4+12X3+20X2+26X1+9X0
ChP(3_g1,[2 3 4 5 6 7 8 9 10]) =+1X9-13X7-10X6+47X5+68X4-19X3-82X2-48X1-8X0
CoP(3_g1\{1}) =+26X1+20X2+12X3+10X4+4X5+10X0
ChP(3_g1\{1}) =-47X1-82X2-19X3+68X4+47X5-10X6-13X7+1X9-8X0
Di\{2} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 16 | 1 | 2 | 3 | 3 | 4 | 5 | 5 | 6
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2 | 16 | 0 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16
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3 | 1 | 16 | 0 | 1 | 2 | 2 | 3 | 4 | 4 | 5
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4 | 2 | 16 | 1 | 0 | 1 | 1 | 2 | 3 | 3 | 4
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5 | 3 | 16 | 2 | 1 | 0 | 1 | 1 | 2 | 2 | 3
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6 | 3 | 16 | 2 | 1 | 1 | 0 | 1 | 2 | 2 | 3
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7 | 4 | 16 | 3 | 2 | 1 | 1 | 0 | 1 | 1 | 2
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8 | 5 | 16 | 4 | 3 | 2 | 2 | 1 | 0 | 1 | 1
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9 | 5 | 16 | 4 | 3 | 2 | 2 | 1 | 1 | 0 | 1
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10 | 6 | 16 | 5 | 4 | 3 | 3 | 2 | 1 | 1 | 0 |
CoP(3_g1,[1 3 4 5 6 7 8 9 10]) =+2X6+6X5+8X4+14X3+18X2+24X1+9X0
ChP(3_g1,[1 3 4 5 6 7 8 9 10]) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-16X1
CoP(3_g1,[2]) =+1X0
ChP(3_g1,[2]) =+1X1
CoP(3_g1\{2}) =+2X6+6X5+8X4+14X3+18X2+24X1+10X0
ChP(3_g1\{2}) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-15X1
Di\{3} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 16 | 2 | 3 | 3 | 4 | 5 | 5 | 6
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2 | 1 | 0 | 16 | 1 | 2 | 2 | 3 | 4 | 4 | 5
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3 | 16 | 16 | 0 | 16 | 16 | 16 | 16 | 16 | 16 | 16
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4 | 2 | 1 | 16 | 0 | 1 | 1 | 2 | 3 | 3 | 4
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5 | 3 | 2 | 16 | 1 | 0 | 1 | 1 | 2 | 2 | 3
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6 | 3 | 2 | 16 | 1 | 1 | 0 | 1 | 2 | 2 | 3
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7 | 4 | 3 | 16 | 2 | 1 | 1 | 0 | 1 | 1 | 2
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8 | 5 | 4 | 16 | 3 | 2 | 2 | 1 | 0 | 1 | 1
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9 | 5 | 4 | 16 | 3 | 2 | 2 | 1 | 1 | 0 | 1
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10 | 6 | 5 | 16 | 4 | 3 | 3 | 2 | 1 | 1 | 0 |
CoP(3_g1,[1 2 4 5 6 7 8 9 10]) =+2X6+6X5+8X4+14X3+18X2+24X1+9X0
ChP(3_g1,[1 2 4 5 6 7 8 9 10]) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-16X1
CoP(3_g1,[3]) =+1X0
ChP(3_g1,[3]) =+1X1
CoP(3_g1\{3}) =+2X6+6X5+8X4+14X3+18X2+24X1+10X0
ChP(3_g1\{3}) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-15X1
Di\{4} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 16 | 16 | 16 | 16 | 16 | 16 | 16
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2 | 1 | 0 | 1 | 16 | 16 | 16 | 16 | 16 | 16 | 16
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3 | 1 | 1 | 0 | 16 | 16 | 16 | 16 | 16 | 16 | 16
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4 | 16 | 16 | 16 | 0 | 16 | 16 | 16 | 16 | 16 | 16
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5 | 16 | 16 | 16 | 16 | 0 | 1 | 1 | 2 | 2 | 3
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6 | 16 | 16 | 16 | 16 | 1 | 0 | 1 | 2 | 2 | 3
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7 | 16 | 16 | 16 | 16 | 1 | 1 | 0 | 1 | 1 | 2
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8 | 16 | 16 | 16 | 16 | 2 | 2 | 1 | 0 | 1 | 1
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9 | 16 | 16 | 16 | 16 | 2 | 2 | 1 | 1 | 0 | 1
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10 | 16 | 16 | 16 | 16 | 3 | 3 | 2 | 1 | 1 | 0 |
CoP(3_g1,[1 2 3]) =+6X1+3X0
ChP(3_g1,[1 2 3]) =+1X3-3X1-2X0
CoP(3_g1,[4]) =+1X0
ChP(3_g1,[4]) =+1X1
CoP(3_g1,[5 6 7 8 9 10]) =+4X3+10X2+16X1+6X0
ChP(3_g1,[5 6 7 8 9 10]) =+1X6-8X4-6X3+11X2+14X1+4X0
CoP(3_g1\{4}) =+22X1+10X2+4X3+10X0
ChP(3_g1\{4}) =+12X1+11X2-5X3-8X4+1X6+2X0
Di\{5} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 2 | 16 | 3 | 4 | 5 | 5 | 6
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2 | 1 | 0 | 1 | 1 | 16 | 2 | 3 | 4 | 4 | 5
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3 | 1 | 1 | 0 | 1 | 16 | 2 | 3 | 4 | 4 | 5
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4 | 2 | 1 | 1 | 0 | 16 | 1 | 2 | 3 | 3 | 4
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5 | 16 | 16 | 16 | 16 | 0 | 16 | 16 | 16 | 16 | 16
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6 | 3 | 2 | 2 | 1 | 16 | 0 | 1 | 2 | 2 | 3
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7 | 4 | 3 | 3 | 2 | 16 | 1 | 0 | 1 | 1 | 2
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8 | 5 | 4 | 4 | 3 | 16 | 2 | 1 | 0 | 1 | 1
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9 | 5 | 4 | 4 | 3 | 16 | 2 | 1 | 1 | 0 | 1
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10 | 6 | 5 | 5 | 4 | 16 | 3 | 2 | 1 | 1 | 0 |
CoP(3_g1,[1 2 3 4 6 7 8 9 10]) =+2X6+8X5+12X4+12X3+14X2+24X1+9X0
ChP(3_g1,[1 2 3 4 6 7 8 9 10]) =+1X9-12X7-8X6+41X5+52X4-14X3-44X2-16X1
CoP(3_g1,[5]) =+1X0
ChP(3_g1,[5]) =+1X1
CoP(3_g1\{5}) =+2X6+8X5+12X4+12X3+14X2+24X1+10X0
ChP(3_g1\{5}) =+1X9-12X7-8X6+41X5+52X4-14X3-44X2-15X1
Di\{6} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 2 | 3 | 16 | 4 | 5 | 5 | 6
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2 | 1 | 0 | 1 | 1 | 2 | 16 | 3 | 4 | 4 | 5
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3 | 1 | 1 | 0 | 1 | 2 | 16 | 3 | 4 | 4 | 5
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4 | 2 | 1 | 1 | 0 | 1 | 16 | 2 | 3 | 3 | 4
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5 | 3 | 2 | 2 | 1 | 0 | 16 | 1 | 2 | 2 | 3
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6 | 16 | 16 | 16 | 16 | 16 | 0 | 16 | 16 | 16 | 16
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7 | 4 | 3 | 3 | 2 | 1 | 16 | 0 | 1 | 1 | 2
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8 | 5 | 4 | 4 | 3 | 2 | 16 | 1 | 0 | 1 | 1
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9 | 5 | 4 | 4 | 3 | 2 | 16 | 1 | 1 | 0 | 1
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10 | 6 | 5 | 5 | 4 | 3 | 16 | 2 | 1 | 1 | 0 |
CoP(3_g1,[1 2 3 4 5 7 8 9 10]) =+2X6+8X5+12X4+12X3+14X2+24X1+9X0
ChP(3_g1,[1 2 3 4 5 7 8 9 10]) =+1X9-12X7-8X6+41X5+52X4-14X3-44X2-16X1
CoP(3_g1,[6]) =+1X0
ChP(3_g1,[6]) =+1X1
CoP(3_g1\{6}) =+2X6+8X5+12X4+12X3+14X2+24X1+10X0
ChP(3_g1\{6}) =+1X9-12X7-8X6+41X5+52X4-14X3-44X2-15X1
Di\{7} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 2 | 3 | 3 | 16 | 16 | 16 | 16
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2 | 1 | 0 | 1 | 1 | 2 | 2 | 16 | 16 | 16 | 16
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3 | 1 | 1 | 0 | 1 | 2 | 2 | 16 | 16 | 16 | 16
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4 | 2 | 1 | 1 | 0 | 1 | 1 | 16 | 16 | 16 | 16
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5 | 3 | 2 | 2 | 1 | 0 | 1 | 16 | 16 | 16 | 16
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6 | 3 | 2 | 2 | 1 | 1 | 0 | 16 | 16 | 16 | 16
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7 | 16 | 16 | 16 | 16 | 16 | 16 | 0 | 16 | 16 | 16
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8 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 0 | 1 | 1
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9 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 1 | 0 | 1
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10 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 1 | 1 | 0 |
CoP(3_g1,[1 2 3 4 5 6]) =+4X3+10X2+16X1+6X0
ChP(3_g1,[1 2 3 4 5 6]) =+1X6-8X4-6X3+11X2+14X1+4X0
CoP(3_g1,[7]) =+1X0
ChP(3_g1,[7]) =+1X1
CoP(3_g1,[8 9 10]) =+6X1+3X0
ChP(3_g1,[8 9 10]) =+1X3-3X1-2X0
CoP(3_g1\{7}) =+10X2+4X3+22X1+10X0
ChP(3_g1\{7}) =+11X2-8X4+1X6+12X1-5X3+2X0
Di\{8} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 2 | 3 | 3 | 4 | 16 | 5 | 6
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2 | 1 | 0 | 1 | 1 | 2 | 2 | 3 | 16 | 4 | 5
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3 | 1 | 1 | 0 | 1 | 2 | 2 | 3 | 16 | 4 | 5
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4 | 2 | 1 | 1 | 0 | 1 | 1 | 2 | 16 | 3 | 4
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5 | 3 | 2 | 2 | 1 | 0 | 1 | 1 | 16 | 2 | 3
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6 | 3 | 2 | 2 | 1 | 1 | 0 | 1 | 16 | 2 | 3
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7 | 4 | 3 | 3 | 2 | 1 | 1 | 0 | 16 | 1 | 2
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8 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 0 | 16 | 16
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9 | 5 | 4 | 4 | 3 | 2 | 2 | 1 | 16 | 0 | 1
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10 | 6 | 5 | 5 | 4 | 3 | 3 | 2 | 16 | 1 | 0 |
CoP(3_g1,[1 2 3 4 5 6 7 9 10]) =+2X6+6X5+8X4+14X3+18X2+24X1+9X0
ChP(3_g1,[1 2 3 4 5 6 7 9 10]) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-16X1
CoP(3_g1,[8]) =+1X0
ChP(3_g1,[8]) =+1X1
CoP(3_g1\{8}) =+2X6+6X5+8X4+14X3+18X2+24X1+10X0
ChP(3_g1\{8}) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-15X1
Di\{9} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 2 | 3 | 3 | 4 | 5 | 16 | 6
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2 | 1 | 0 | 1 | 1 | 2 | 2 | 3 | 4 | 16 | 5
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3 | 1 | 1 | 0 | 1 | 2 | 2 | 3 | 4 | 16 | 5
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4 | 2 | 1 | 1 | 0 | 1 | 1 | 2 | 3 | 16 | 4
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5 | 3 | 2 | 2 | 1 | 0 | 1 | 1 | 2 | 16 | 3
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6 | 3 | 2 | 2 | 1 | 1 | 0 | 1 | 2 | 16 | 3
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7 | 4 | 3 | 3 | 2 | 1 | 1 | 0 | 1 | 16 | 2
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8 | 5 | 4 | 4 | 3 | 2 | 2 | 1 | 0 | 16 | 1
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9 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 0 | 16
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10 | 6 | 5 | 5 | 4 | 3 | 3 | 2 | 1 | 16 | 0 |
CoP(3_g1,[1 2 3 4 5 6 7 8 10]) =+2X6+6X5+8X4+14X3+18X2+24X1+9X0
ChP(3_g1,[1 2 3 4 5 6 7 8 10]) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-16X1
CoP(3_g1,[9]) =+1X0
ChP(3_g1,[9]) =+1X1
CoP(3_g1\{9}) =+2X6+6X5+8X4+14X3+18X2+24X1+10X0
ChP(3_g1\{9}) =+1X9-12X7-8X6+39X5+46X4-20X3-46X2-15X1
Di\{10} | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 2 | 3 | 3 | 4 | 5 | 5 | 16
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2 | 1 | 0 | 1 | 1 | 2 | 2 | 3 | 4 | 4 | 16
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3 | 1 | 1 | 0 | 1 | 2 | 2 | 3 | 4 | 4 | 16
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4 | 2 | 1 | 1 | 0 | 1 | 1 | 2 | 3 | 3 | 16
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5 | 3 | 2 | 2 | 1 | 0 | 1 | 1 | 2 | 2 | 16
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6 | 3 | 2 | 2 | 1 | 1 | 0 | 1 | 2 | 2 | 16
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7 | 4 | 3 | 3 | 2 | 1 | 1 | 0 | 1 | 1 | 16
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8 | 5 | 4 | 4 | 3 | 2 | 2 | 1 | 0 | 1 | 16
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9 | 5 | 4 | 4 | 3 | 2 | 2 | 1 | 1 | 0 | 16
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10 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 0 |
CoP(3_g1,[1 2 3 4 5 6 7 8 9]) =+4X5+10X4+12X3+20X2+26X1+9X0
ChP(3_g1,[1 2 3 4 5 6 7 8 9]) =+1X9-13X7-10X6+47X5+68X4-19X3-82X2-48X1-8X0
CoP(3_g1,[10]) =+1X0
ChP(3_g1,[10]) =+1X1
CoP(3_g1\{10}) =+4X5+10X4+12X3+20X2+26X1+10X0
ChP(3_g1\{10}) =+1X9-13X7-10X6+47X5+68X4-19X3-82X2-47X1-8X0
Di | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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1 | 0 | 1 | 1 | 2 | 3 | 3 | 4 | 5 | 5 | 6
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2 | 1 | 0 | 1 | 1 | 2 | 2 | 3 | 4 | 4 | 5
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3 | 1 | 1 | 0 | 1 | 2 | 2 | 3 | 4 | 4 | 5
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4 | 2 | 1 | 1 | 0 | 1 | 1 | 2 | 3 | 3 | 4
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5 | 3 | 2 | 2 | 1 | 0 | 1 | 1 | 2 | 2 | 3
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6 | 3 | 2 | 2 | 1 | 1 | 0 | 1 | 2 | 2 | 3
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7 | 4 | 3 | 3 | 2 | 1 | 1 | 0 | 1 | 1 | 2
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8 | 5 | 4 | 4 | 3 | 2 | 2 | 1 | 0 | 1 | 1
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9 | 5 | 4 | 4 | 3 | 2 | 2 | 1 | 1 | 0 | 1
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10 | 6 | 5 | 5 | 4 | 3 | 3 | 2 | 1 | 1 | 0 |
CoP(3_g1) =+2X6+8X5+12X4+16X3+22X2+30X1+10X0
ChP(3_g1) =+1X10-15X8-12X7+67X6+104X5-45X4-188X3-136X2-32X1
CoP(Ui=1..103_g1\{i}) =+240X1+160X2+112X3+76X4+48X5+12X6+100X0
ChP(Ui=1..103_g1\{i}) =-414X2-156X3+408X4+332X5-66X6-98X7+8X9-160X1-12X0