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2. Pebble motion problems - Wikipedia

   en.wikipedia.org/wiki/Pebble_motion_problems

   Finding the shortest solution sequence in the pebble motion on graphs problem (with labeled pebbles) is known to be NP-hard [6] and APX-hard. [3] The unlabeled problem can be solved in polynomial time when using the cost metric mentioned above (minimizing the total number of moves to adjacent vertices), but is NP-hard for other natural cost ...

3. Graph pebbling - Wikipedia

   en.wikipedia.org/wiki/Graph_pebbling

   Graph pebbling is a mathematical game played on a graph with zero or more pebbles on each of its vertices. 'Game play' is composed of a series of pebbling moves. A pebbling move on a graph consists of choosing a vertex with at least two pebbles, removing two pebbles from it, and adding one to an adjacent vertex (the second removed pebble is discarded from play). π(G), the pebbling number of a ...

4. Kirkman's schoolgirl problem - Wikipedia

   en.wikipedia.org/wiki/Kirkman's_schoolgirl_problem

   A solution to Kirkman's schoolgirl problem with vertices denoting girls and colours denoting days of the week [1] Kirkman's schoolgirl problem is a problem in combinatorics proposed by Thomas Penyngton Kirkman in 1850 as Query VI in The Lady's and Gentleman's Diary (pg.48). The problem states:

5. Pebble game - Wikipedia

   en.wikipedia.org/wiki/Pebble_game

   In mathematics and computer science, a pebble game is a type of mathematical game played by placing "pebbles" or "markers" on a directed acyclic graph according to certain rules: A given step of the game consists of either placing a pebble on an empty vertex or removing a pebble from a previously pebbled vertex.

6. Stefan problem - Wikipedia

   en.wikipedia.org/wiki/Stefan_problem

   Additionally, the solution of the Cahn–Hilliard equation for a binary mixture is reasonably comparable with the solution of a Stefan problem. [11] In this comparison, the Stefan problem was solved using a front-tracking, moving-mesh method with homogeneous Neumann boundary conditions at the outer boundary. Also, Stefan problems can be applied ...

7. Woman Gets Fat Injections in Eyelid to Resolve 'Facial ...

   www.aol.com/lifestyle/woman-gets-fat-injections...

   The woman said she recalled "losing her left contact lens several time" but never experienced any vision problems Woman Gets Fat Injections in Eyelid to Resolve 'Facial Asymmetry' — and Five ...

8. Charlie Sheen and Denise Richards' Daughters Have No Idea ...

   www.aol.com/charlie-sheen-denise-richards...

   Today, they are all on good terms, including Brooke Mueller, 47, Sheen’s third ex-wife and their twin 15-year-old boys, Bob and Max. “There’s always an open door,” says Richards.

9. Watch: Drone footage shows caved-in roofs after lake-effect ...

   www.aol.com/watch-drone-footage-shows-caved...

   ONEIDA COUNTY, N.Y. – Days of concentrated lake-effect snow resulted in feet of fresh powder being dumped on several counties in upstate New York.That was enough snow to collapse the roofs of ...