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- W2991023825 abstract "Abstract Given a distribution of pebbles on the vertices of a connected graph G , a pebbling move on G consists of taking two pebbles off one vertex and placing one on an adjacent vertex. The optimal pebbling number of G , denoted by π opt ( G ), is the smallest number m such that for some distribution of m pebbles on G , one pebble can be moved to any vertex of G by a sequence of pebbling moves. Let P k be the path on k vertices. Snevily defined the n – k spindle graph as follows: take n copies of P k and two extra vertices x and y , and then join the left endpoint (respectively, the right endpoint) of each P k to x (respectively, y ), the resulting graph is denoted by S ( n , k ), and called the n – k spindle graph . In this paper, we determine the optimal pebbling number for spindle graphs." @default.
- W2991023825 created "2019-12-05" @default.
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- W2991023825 date "2019-11-13" @default.
- W2991023825 modified "2023-09-23" @default.
- W2991023825 title "The optimal pebbling of spindle graphs" @default.
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- W2991023825 doi "https://doi.org/10.1515/math-2019-0094" @default.
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