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    (2, 1)-stacked Book Graph

    Image

    Notation

    P_3

    Basic properties

    vertex count | 3 edge count | 2 connected component count | 1

    Graph features

    acyclic | almost controllable | almost Hamiltonian | apex | asymmetric | bicolorable | bipartite | black bishop | block | bridged | cactus | caterpillar | chordal | chordless | chromatically unique | class 1 | claw-free | complete bipartite | complete k-partite | complete tree | conformally rigid | connected | determined by resistance | determined by spectrum | distance-hereditary | dominating unique | edge-transitive | Fibonacci cube | flexible | forest | geodetic | graceful | grid | king | KP | k-tree | line graphs | linklessly embeddable | lobster | Lucas cube | map | matchstick | maximally nonhamiltonian | median | Meyniel | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | outerplanar | path | perfect | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | quasi-regular | simple | smallest fully forested | split | spoke | square-free | stacked book | star | strongly perfect | traceable | tree | triangle-free | triangular honeycomb bishop | Turán | unigraphic | uniquely colorable | uniquely embeddable | uniquely graceful | unit-distance | unswitchable | weakly perfect | white bishop

    Complement graph

    2-path and singleton

    Line graph

    2-path graph

    Graph degrees

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

    Topological properties

    radius | 1 diameter | 2 girth | ∞ vertex connectivity | 1 edge connectivity | 1

    Graph polynomials

    x (x^2 - 2)

    (x + 1)^2

    x^2

    Coloring properties

    chromatic number | 2 edge chromatic number | 2

    Spectrum

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

    Associated matrices

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

    (1 | 0 1 | 1 0 | 1)

    Graph indices

    Hosoya index | 3 Kirchhoff index | 4 stability index | 0 Wiener index | 4