vertex count | 7 edge count | 14 connected component count | 1
apex | asymmetric | biconnected | biplanar | bridgeless | chromatically nonunique | class 2 | connected | cyclic | determined by resistance | determined by spectrum | doublecross | Eulerian | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | integral | LCF | noncayley | nonempty | nonplanar | no perfect matching | Ore | pancyclic | perfect | quartic | regular | simple | strongly perfect | toroidal | traceable | ungraceful | uniquely colorable | weakly perfect | weakly regular
square and triangle
(not a named graph)
vertex degrees | 4 (7 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 3 edge connectivity | 4
-((x - 4) (x - 1) x^2 (x + 1)^2 (x + 3))
x^6 y^8 + 14 x^6 y^7 + 91 x^6 y^6 + 364 x^6 y^5 + 994 x^6 y^4 + 1932 x^6 y^3 + 2668 x^6 y^2 + 2460 x^6 y + 1200 x^6 + 7 x^5 y^5 + 70 x^5 y^4 + ... + 14 x^4 y^3 + 129 x^4 y^2 + 516 x^4 y + 917 x^4 + 6 x^3 y^2 + 84 x^3 y + 358 x^3 + 6 x^2 y + 91 x^2 + 14 x + 1 (26 terms)
x^6 + 8 x^5 + 6 x^4 y + 30 x^4 + 6 x^3 y^2 + 48 x^3 y + 60 x^3 + 14 x^2 y^3 + 69 x^2 y^2 + 120 x^2 y + 61 x^2 + 7 x y^5 + 35 x y^4 + 97 x y^3 + 147 x y^2 + 110 x y + 24 x + y^8 + 6 y^7 + 21 y^6 + 49 y^5 + 84 y^4 + 99 y^3 + 73 y^2 + 24 y
chromatic number | 3 edge chromatic number | 5
(-3)^1 (-1)^2 0^2 1^1 4^1
(0 | 1 | 1 | 1 | 1 | 0 | 0 1 | 0 | 1 | 1 | 1 | 0 | 0 1 | 1 | 0 | 0 | 0 | 1 | 1 1 | 1 | 0 | 0 | 0 | 1 | 1 1 | 1 | 0 | 0 | 0 | 1 | 1 0 | 0 | 1 | 1 | 1 | 0 | 1 0 | 0 | 1 | 1 | 1 | 1 | 0)
(1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 1)
Hosoya index | 100 Kirchhoff index | 9.633 stability index | 24 Wiener index | 28
