K_(1, 1, 1, 4)
vertex count | 7 edge count | 15 connected component count | 1
almost Hamiltonian | apex | asymmetric | biconnected | biplanar | bridgeless | chordal | chromatically nonunique | class 1 | complete k-partite | cone | connected | cyclic | determined by resistance | determined by spectrum | doublecross | graceful | maximally nonhamiltonian | noncayley | nonempty | noneulerian | nonhamiltonian | nonplanar | no perfect matching | perfect | simple | split | strongly perfect | toroidal | traceable | uniquely colorable | weakly perfect
tetrahedron and three singletons
(not a named graph)
vertex degrees | 3 (4 vertices) | 6 (3 vertices)
radius | 1 diameter | 2 girth | 3 vertex connectivity | 3 edge connectivity | 3
-x^3 (x + 1)^2 (x^2 - 2 x - 12)
x^6 y^9 + 15 x^6 y^8 + 105 x^6 y^7 + 451 x^6 y^6 + 1317 x^6 y^5 + 2739 x^6 y^4 + 4128 x^6 y^3 + 4470 x^6 y^2 + 3285 x^6 y + 1323 x^6 + 4 x^5 y^7 + ... + 612 x^4 y^2 + 1098 x^4 y + 1179 x^4 + 4 x^3 y^3 + 42 x^3 y^2 + 186 x^3 y + 442 x^3 + 13 x^2 y + 105 x^2 + 15 x + 1 (32 terms)
x^6 + 9 x^5 + 13 x^4 y + 32 x^4 + 4 x^3 y^3 + 30 x^3 y^2 + 62 x^3 y + 56 x^3 + 6 x^2 y^5 + 24 x^2 y^4 + 60 x^2 y^3 + 102 x^2 y^2 + 108 x^2 y + 48 x^2 + ... + 83 x y^4 + 115 x y^3 + 117 x y^2 + 77 x y + 16 x + y^9 + 6 y^8 + 17 y^7 + 32 y^6 + 48 y^5 + 61 y^4 + 62 y^3 + 45 y^2 + 16 y (31 terms)
chromatic number | 4 edge chromatic number | 6
(1 - sqrt(13))^1 (-1)^2 0^3 (1 + sqrt(13))^1
(0 | 1 | 1 | 1 | 1 | 1 | 1 1 | 0 | 1 | 1 | 1 | 1 | 1 1 | 1 | 0 | 1 | 1 | 1 | 1 1 | 1 | 1 | 0 | 0 | 0 | 0 1 | 1 | 1 | 0 | 0 | 0 | 0 1 | 1 | 1 | 0 | 0 | 0 | 0 1 | 1 | 1 | 0 | 0 | 0 | 0)
(1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1)
Hosoya index | 88 Kirchhoff index | 10 stability index | 26 Wiener index | 27
