Ci_10(1, 2, 3, 5)

10-circulant graph (1, 3, 4, 5) | 10-graph 12004736 | 10-septic graph 5 | 10-vertex transitive graph 19 | (7, 10)-Harary graph

vertex count | 10 edge count | 35 connected component count | 1

asymmetric | biconnected | biplanar | bridgeless | Cayley graphs | chromatically unique | circulant | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | fully reconstructible in C^1 | Hamilton-connected | Hamilton-decomposable | Hamiltonian | Harary | H-star connected | imperfect | intrinsically linked | LCF | local | multigraphic | nonempty | noneulerian | nongeometric | nonplanar | not uniquely embeddable | Ore | pancyclic | perfect matching | pretzel | regular | rigid | septic | simple | switchable | traceable | ungraceful | vertex-transitive | weakly regular | well covered

two pentagons

(not a named graph)

vertex degrees | 7 (10 vertices)

radius | 2 diameter | 2 girth | 3 vertex connectivity | 7 edge connectivity | 7

(x - 7) (x + 3) (x^2 + x - 1)^4

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 (99 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 + 50 x^5 y^5 + 300 x^5 y^4 + ... + 318566 y^10 + 378470 y^9 + 423540 y^8 + 441220 y^7 + 419655 y^6 + 353405 y^5 + 251025 y^4 + 139000 y^3 + 52224 y^2 + 9720 y (98 terms)

chromatic number | 6 edge chromatic number | 7

(-3)^1 (1/2 (-1 - sqrt(5)))^4 (1/2 (-1 + sqrt(5)))^4 7^1

Hosoya index | 4066 Kirchhoff index | 11.91 stability index | 172 Wiener index | 55