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  2. Fáry's theorem - Wikipedia

    en.wikipedia.org/wiki/Fáry's_theorem

    In the mathematical field of graph theory, Fáry's theorem states that any simple, planar graph can be drawn without crossings so that its edges are straight line segments. That is, the ability to draw graph edges as curves instead of as straight line segments does not allow a larger class of graphs to be drawn.

  3. Line graph - Wikipedia

    en.wikipedia.org/wiki/Line_graph

    A line perfect graph. The edges in each biconnected component are colored black if the component is bipartite, blue if the component is a tetrahedron, and red if the component is a book of triangles. The line graph of the complete graph K n is also known as the triangular graph, the Johnson graph J(n, 2), or the complement of the Kneser graph ...

  4. Five-room puzzle - Wikipedia

    en.wikipedia.org/wiki/Five-room_puzzle

    The solution line must cross over each "wall" exactly once, where "cross over" means to pass completely from one to the other of the two rooms that are separated by the "wall", or from a room to the area outside the drawing. This precludes "crossing" two walls at the same time by drawing the solution line through the corner at which they meet.

  5. Graph drawing - Wikipedia

    en.wikipedia.org/wiki/Graph_drawing

    Graphic representation of a minute fraction of the WWW, demonstrating hyperlinks.. Graph drawing is an area of mathematics and computer science combining methods from geometric graph theory and information visualization to derive two-dimensional depictions of graphs arising from applications such as social network analysis, cartography, linguistics, and bioinformatics.

  6. Convex drawing - Wikipedia

    en.wikipedia.org/wiki/Convex_drawing

    Convex and strictly convex grid drawings of the same graph. In graph drawing, a convex drawing of a planar graph is a drawing that represents the vertices of the graph as points in the Euclidean plane and the edges as straight line segments, in such a way that all of the faces of the drawing (including the outer face) have a convex boundary.

  7. IRS sending up to $1,400 to 1 million people. Here's who ...

    www.aol.com/irs-sending-1-400-1-215256728.html

    The IRS said it's sending out checks worth up to $1,400 to 1 million people. Here's what to know about the "special payments."

  8. Arrangement of lines - Wikipedia

    en.wikipedia.org/wiki/Arrangement_of_lines

    The intersection graph of the lines in a hyperbolic arrangement can be an arbitrary circle graph. The corresponding concept to hyperbolic line arrangements for pseudolines is a weak pseudoline arrangement , [ 52 ] a family of curves having the same topological properties as lines [ 53 ] such that any two curves in the family either meet in a ...

  9. Doctors Say This Nighttime Behavior Can Be A Sign Of Dementia

    www.aol.com/doctors-nighttime-behavior-sign...

    The best books of 2024, according to Goodreads. See all deals. In Other News. Entertainment. Entertainment. Fox News. Travis, Jason Kelce give blunt take on Christmas movie Taylor Swift, Kylie ...

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