(3, 1)-generalized Petersen Graph
P_2 square C_3
vertex count | 6 edge count | 9 connected component count | 1
apex | asymmetric | biconnected | bridgeless | Cayley graphs | chromatically unique | circulant | class 1 | claw-free | connected | cubic | cycle complement | cyclic | determined by resistance | determined by spectrum | dominating nonunique | fully reconstructible in C^1 | generalized Petersen | graceful | Halin | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | I graphs | integral | KC | KP | Laman | LCF | line graphs | linklessly embeddable | local | map | multigraphic | nonempty | noneulerian | nongeometric | Ore | pancyclic | perfect | perfect matching | planar | Plummer-Toft | polyhedral | prism | projective planar | quadratically embeddable | regular | rigid | rook | simple | stacked prism | switchable | traceable | uniquely embeddable | unit-distance | vertex-transitive | weakly perfect | weakly regular | well covered
6-cycle graph
3-dipyramidal graph
9-quartic graph 5
vertex degrees | 3 (6 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 3 edge connectivity | 3
(x - 3) (x - 1) x^2 (x + 2)^2
x^5 y^4 + 9 x^5 y^3 + 36 x^5 y^2 + 77 x^5 y + 75 x^5 + 7 x^4 y^2 + 51 x^4 y + 111 x^4 + 15 x^3 y + 82 x^3 + 2 x^2 y + 36 x^2 + 9 x + 1
x^5 + 4 x^4 + 2 x^3 y + 8 x^3 + 9 x^2 y + 9 x^2 + 7 x y^2 + 13 x y + 4 x + y^4 + 5 y^3 + 8 y^2 + 4 y
chromatic number | 3 edge chromatic number | 3
(-2)^2 0^2 1^1 3^1
(0 | 1 | 1 | 1 | 0 | 0 1 | 0 | 1 | 0 | 1 | 0 1 | 1 | 0 | 0 | 0 | 1 1 | 0 | 0 | 0 | 1 | 1 0 | 1 | 0 | 1 | 0 | 1 0 | 0 | 1 | 1 | 1 | 0)
(1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1)
Hosoya index | 32 Kirchhoff index | 9.4 stability index | 22 Wiener index | 21