(5, 2)-cone graph | 5-bipyramidal graph | (7, 32)-polyhedral graph | (7, 4)-triangulated graph | 7-graph 1014 | 7-planar nonbipartite odd shortest path count graph 2 | heptahedral graph 32 | Johnson solid skeleton 13 | pentagonal dipyramid graph

vertex count | 7 edge count | 15 connected component count | 1

apex | asymmetric | biconnected | bridgeless | chromatically unique | class 1 | claw-free | cone | connected | cyclic | determined by resistance | determined by spectrum | dipyramid | dominating nonunique | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamiltonian | H-star connected | imperfect | Johnson skeleton | linklessly embeddable | map | multigraphic | noncayley | nonempty | noneulerian | nongeometric | no perfect matching | Ore | pancyclic | planar | polyhedral | projective planar | rigid | simple | switchable | traceable | triangulated | uniquely embeddable | well covered

pentagon and 2-path

5-prism graph

(not a named graph)

vertex degrees | 4 (5 vertices) | 5 (2 vertices)

radius | 2 diameter | 2 girth | 3 vertex connectivity | 4 edge connectivity | 4

x (x^2 - 2 x - 10) (x^2 + x - 1)^2

x^6 y^9 + 15 x^6 y^8 + 105 x^6 y^7 + 455 x^6 y^6 + 1360 x^6 y^5 + 2946 x^6 y^4 + 4705 x^6 y^3 + 5465 x^6 y^2 + 4305 x^6 y + 1805 x^6 + 5 x^5 y^6 + ... + 55 x^4 y^3 + 295 x^4 y^2 + 876 x^4 y + 1225 x^4 + 15 x^3 y^2 + 140 x^3 y + 445 x^3 + 10 x^2 y + 105 x^2 + 15 x + 1 (29 terms)

x^6 + 9 x^5 + 10 x^4 y + 35 x^4 + 15 x^3 y^2 + 70 x^3 y + 70 x^3 + 5 x^2 y^4 + 35 x^2 y^3 + 115 x^2 y^2 + 161 x^2 y + 69 x^2 + 5 x y^6 + 27 x y^5 + 80 x y^4 + 165 x y^3 + 210 x y^2 + 133 x y + 26 x + y^9 + 6 y^8 + 21 y^7 + 51 y^6 + 94 y^5 + 135 y^4 + 140 y^3 + 90 y^2 + 26 y

chromatic number | 4 edge chromatic number | 5

(1 - sqrt(11))^1 (1/2 (-1 - sqrt(5)))^2 0^1 (1/2 (-1 + sqrt(5)))^2 (1 + sqrt(11))^1

(0 | 0 | 1 | 1 | 0 | 1 | 1 0 | 0 | 0 | 1 | 1 | 1 | 1 1 | 0 | 0 | 0 | 1 | 1 | 1 1 | 1 | 0 | 0 | 0 | 1 | 1 0 | 1 | 1 | 0 | 0 | 1 | 1 1 | 1 | 1 | 1 | 1 | 0 | 0 1 | 1 | 1 | 1 | 1 | 0 | 0)

(1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1)

Hosoya index | 111 Kirchhoff index | 9.032 stability index | 38 Wiener index | 27