Ci_13(1, 3, 4)

(13, 2)-torus triangulation graph | 13-arc transitive graph 2 | 13-circulant graph (1, 3, 4) | 13-circulant graph (2, 5, 6) | 13-edge transitive graph 7 | 13-self-complementary graph 4706 | 13-sextic graph 367857 | 13-vertex transitive graph 6

vertex count | 13 edge count | 39 connected component count | 1

arc-transitive | biconnected | bridgeless | Cayley graphs | circulant | class 2 | conference | conformally rigid | connected | cyclic | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Eulerian | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | intrinsically linked | LCF | local | multigraphic | nonempty | nongeometric | nonplanar | no perfect matching | not uniquely embeddable | Paley | pancyclic | regular | rigid | self-complementary | sextic | simple | strongly regular | switchable | symmetric | toroidal | torus triangulation | traceable | vertex-transitive | well covered

13-Paley graph

(not a named graph)

vertex degrees | 6 (13 vertices)

radius | 2 diameter | 2 girth | 3 vertex connectivity | 6 edge connectivity | 6

(x - 6) (x^2 + x - 3)^6

x^12 y^27 + 39 x^12 y^26 + 741 x^12 y^25 + 9139 x^12 y^24 + 82251 x^12 y^23 + 575757 x^12 y^22 + 13 x^11 y^22 + 3262610 x^12 y^21 + 429 x^11 y^21 + ... + 46304037 x^8 + 13196352 x^7 + 3021421 x^6 + 556374 x^5 + 81237 x^4 + 9113 x^3 + 741 x^2 + 39 x + 1 (134 terms)

y^27 + 12 y^26 + 78 y^25 + 364 y^24 + 1365 y^23 + 13 x y^22 + 4355 y^22 + 143 x y^21 + 12220 y^21 + 858 x y^20 + 30810 y^20 + ... + 352 x^10 + 2913 x^9 + 16888 x^8 + 71397 x^7 + 222353 x^6 + 504466 x^5 + 807353 x^4 + 856883 x^3 + 534977 x^2 + 146238 x (133 terms)

chromatic number | 5 edge chromatic number | 7

(1/2 (-1 - sqrt(13)))^6 (1/2 (-1 + sqrt(13)))^6 6^1

Hosoya index | 25949 Kirchhoff index | 26 stability index | 10666 Wiener index | 117