K_(5, 5)

(10, 2)-Turán graph | 10-arc transitive graph 3 | 10-circulant graph (1, 3, 5) | 10-edge-transitive graph 7 | 10-graph 1731027 | 10-quintic graph 60 | 10-vertex transitive graph 12 | 31-Haar graph | (5, 1)-Goethals-Seidel block design graph | (5, 5)-complete 2-partite graph

vertex count | 10 edge count | 25 connected component count | 1

arc-transitive | bicolorable | biconnected | bipartite | biplanar | bridgeless | cage | Cayley graphs | chromatically unique | circulant | class 1 | complete bipartite | complete k-partite | connected | cyclic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Goethals-Seidel block design | graceful | Haar | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | integral | LCF | local | Moore | nonempty | noneulerian | nonplanar | Ore | perfect | perfect matching | pretzel | quintic | regular | simple | strongly perfect | strongly regular | symmetric | traceable | triangle-free | Turán | uniquely colorable | vertex-transitive | weakly perfect | well covered

two pentatopes

(5, 5)-rook graph

vertex degrees | 5 (10 vertices)

radius | 2 diameter | 2 girth | 4 vertex connectivity | 5 edge connectivity | 5

x^8 (x^2 - 25)

x^9 y^16 + 25 x^9 y^15 + 300 x^9 y^14 + 2300 x^9 y^13 + 12650 x^9 y^12 + 53120 x^9 y^11 + 176900 x^9 y^10 + 478800 x^9 y^9 + 1070150 x^9 y^8 + 1994150 x^9 y^7 + ... + 51030 x^5 + 200 x^4 y^2 + 2100 x^4 y + 12550 x^4 + 100 x^3 y + 2300 x^3 + 300 x^2 + 25 x + 1 (60 terms)

x^9 + 16 x^8 + 136 x^7 + 100 x^6 y + 716 x^6 + 200 x^5 y^2 + 1100 x^5 y + 2476 x^5 + 100 x^4 y^4 + 600 x^4 y^3 + 2200 x^4 y^2 + ... + 1197 y^11 + 2553 y^10 + 4785 y^9 + 7965 y^8 + 11845 y^7 + 15753 y^6 + 18557 y^5 + 18725 y^4 + 14925 y^3 + 8025 y^2 + 2069 y (59 terms)

chromatic number | 2 edge chromatic number | 5

(-5)^1 0^8 5^1

Hosoya index | 1546 Kirchhoff index | 18 stability index | 26 Wiener index | 65