GP(5, 2)

10-arc transitive graph 4 | 10-cubic graph 19 | 10-cubic hypohamiltonian graph 1 | 10-edge-transitive graph 13 | 10-graph 8428502 | 10-hypohamiltonian graph 1 | 10-strong snark 1 | 10-vertex transitive graph 5 | 10-weak snark 1 | 2-crossing number graph A | ...

vertex count | 10 edge count | 15 connected component count | 1

almost Hamiltonian | arc-transitive | biconnected | biplanar | bridgeless | cage | chromatically unique | class 2 | connected | cubic | cyclic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | doublecross | edge-transitive | generalized Petersen | geodetic | graceful | hypohamiltonian | I graphs | imperfect | integral | Kneser | local | maximally nonhamiltonian | Moore | noncayley | nonempty | noneulerian | nonhamiltonian | nonplanar | odd | perfect matching | projective planar | regular | simple | snark | square-free | strongly regular | symmetric | toroidal | traceable | triangle-free | unit-distance | vertex-transitive | weak snark

5-triangular graph

Petersen line graph

vertex degrees | 3 (10 vertices)

radius | 2 diameter | 2 girth | 5 vertex connectivity | 3 edge connectivity | 3

(x - 3) (x - 1)^5 (x + 2)^4

x^9 y^6 + 15 x^9 y^5 + 105 x^9 y^4 + 445 x^9 y^3 + 1230 x^9 y^2 + 2172 x^9 y + 2000 x^9 + 10 x^8 y^4 + 135 x^8 y^3 + 816 x^8 y^2 + 2765 x^8 y + ... + 30 x^6 y^2 + 630 x^6 y + 4875 x^6 + 130 x^5 y + 2991 x^5 + 12 x^4 y + 1365 x^4 + 455 x^3 + 105 x^2 + 15 x + 1 (27 terms)

x^9 + 6 x^8 + 21 x^7 + 56 x^6 + 12 x^5 y + 114 x^5 + 70 x^4 y + 170 x^4 + 30 x^3 y^2 + 170 x^3 y + 180 x^3 + 15 x^2 y^3 + 105 x^2 y^2 + 240 x^2 y + 120 x^2 + 10 x y^4 + 65 x y^3 + 171 x y^2 + 168 x y + 36 x + y^6 + 9 y^5 + 35 y^4 + 75 y^3 + 84 y^2 + 36 y

chromatic number | 3 edge chromatic number | 4

(-2)^4 1^5 3^1

Hosoya index | 332 Kirchhoff index | 33 stability index | 424 Wiener index | 75