Ci_10(1, 2, 4, 5)
vertex count | 10 edge count | 35 connected component count | 1
asymmetric | biconnected | biplanar | bridgeless | Cayley graphs | chromatically unique | circulant | class 1 | claw-free | connected | cycle complement | cyclic | determined by resistance | determined by spectrum | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | LCF | local | nonempty | noneulerian | nonplanar | Ore | pancyclic | perfect | perfect matching | regular | septic | simple | traceable | ungraceful | vertex-transitive | weakly perfect | weakly regular | well covered
10-cycle graph
(not a named graph)
vertex degrees | 7 (10 vertices)
radius | 2 diameter | 2 girth | 3 vertex connectivity | 7 edge connectivity | 7
(x - 7) (x - 1) (x^2 + x - 1)^2 (x^2 + 3 x + 1)^2
x^9 y^26 + 35 x^9 y^25 + 595 x^9 y^24 + 6545 x^9 y^23 + 52360 x^9 y^22 + 324632 x^9 y^21 + 1623160 x^9 y^20 + 6724510 x^9 y^19 + 23535540 x^9 y^18 + ... + 50560 x^4 + 25 x^3 y^3 + 250 x^3 y^2 + 1800 x^3 y + 6495 x^3 + 50 x^2 y + 595 x^2 + 35 x + 1 (100 terms)
x^9 + 26 x^8 + 50 x^7 y + 301 x^7 + 25 x^6 y^3 + 175 x^6 y^2 + 1025 x^6 y + 2001 x^6 + 2 x^5 y^6 + 48 x^5 y^5 + 300 x^5 y^4 + ... + 318526 y^10 + 378360 y^9 + 423340 y^8 + 440988 y^7 + 419515 y^6 + 353417 y^5 + 251115 y^4 + 139050 y^3 + 52214 y^2 + 9708 y (99 terms)
chromatic number | 5 edge chromatic number | 7
(1/2 (-3 - sqrt(5)))^2 (1/2 (-1 - sqrt(5)))^2 (1/2 (-3 + sqrt(5)))^2 (1/2 (-1 + sqrt(5)))^2 1^1 7^1
Hosoya index | 4064 Kirchhoff index | 11.91 stability index | 198 Wiener index | 55
