P_7

(1, 1, 7)-grid graph | (1, 7)-king graph | (1, 7)-KP graph | 1-tree (7, 11) | (2, 3)-spoke graph | (2, 7)-black bishop graph | (2, 7)-white bishop graph | 6-matchstick graph 28 | 7-graph 372 | (7)-grid graph | 7-tree 11

vertex count | 7 edge count | 6 connected component count | 1

acyclic | apex | asymmetric | bicolorable | bipartite | black bishop | block | bridged | cactus | caterpillar | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | determined by resistance | determined by spectrum | distance-hereditary | dominating nonunique | flexible | forest | geodetic | graceful | grid | king | KP | k-tree | line graphs | linklessly embeddable | lobster | map | matchstick | median | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | outerplanar | path | perfect | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | simple | spoke | square-free | switchable | traceable | tree | triangle-free | uniquely colorable | uniquely embeddable | unit-distance | weakly perfect | white bishop

7-path complement graph

6-path graph

vertex degrees | 1 (2 vertices) | 2 (5 vertices)

radius | 3 diameter | 6 girth | ∞ vertex connectivity | 1 edge connectivity | 1

x (x^2 - 2) (x^4 - 4 x^2 + 2)

(x + 1)^6

x^6

chromatic number | 2 edge chromatic number | 2

(-sqrt(2 + sqrt(2)))^1 (-sqrt(2))^1 (-sqrt(2 - sqrt(2)))^1 0^1 sqrt(2 - sqrt(2))^1 sqrt(2)^1 sqrt(2 + sqrt(2))^1

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

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

Hosoya index | 21 Kirchhoff index | 56 stability index | 0 Wiener index | 56