K_5
vertex count | 5 edge count | 10 connected component count | 1
apex | arc-transitive | arrangement | biconnected | biplanar | bridgeless | cage | Cayley graphs | chordal | chromatically unique | circulant | class 2 | claw-free | complete | complete k-partite | connected | critical nonplanar | cyclic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Eulerian | geodetic | Hamilton-connected | Hamilton-decomposable | Hamiltonian | Hamming | Harary | H-star connected | integral | Johnson | Kneser | Kuratowski | LCF | line graphs | local | Moore | nonempty | nonplanar | no perfect matching | Ore | pancyclic | perfect | projective planar | quartic | queen | regular | rook | simple | singlecross | split | strongly perfect | strongly regular | symmetric | toroidal | traceable | Turán | ungraceful | uniquely colorable | vertex-transitive | weakly perfect | well covered
5-empty graph
5-triangular graph
vertex degrees | 4 (5 vertices)
radius | 1 diameter | 1 girth | 3 vertex connectivity | 4 edge connectivity | 4
-((x - 4) (x + 1)^4)
x^4 y^6 + 10 x^4 y^5 + 45 x^4 y^4 + 120 x^4 y^3 + 205 x^4 y^2 + 222 x^4 y + 125 x^4 + 5 x^3 y^3 + 30 x^3 y^2 + 85 x^3 y + 110 x^3 + 10 x^2 y + 45 x^2 + 10 x + 1
x^4 + 6 x^3 + 10 x^2 y + 11 x^2 + 5 x y^3 + 15 x y^2 + 20 x y + 6 x + y^6 + 4 y^5 + 10 y^4 + 15 y^3 + 15 y^2 + 6 y
chromatic number | 5 edge chromatic number | 5
(-1)^4 4^1
(0 | 1 | 1 | 1 | 1 1 | 0 | 1 | 1 | 1 1 | 1 | 0 | 1 | 1 1 | 1 | 1 | 0 | 1 1 | 1 | 1 | 1 | 0)
(1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1)
Hosoya index | 26 Kirchhoff index | 4 stability index | 24 Wiener index | 10
