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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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A pebbling move on a connected graph G is taking two pebbles off of one vertex and placing one of them on an adjacent vertex. For a connected graph G, $G^p$ (p > 1) is the graph obtained from G by adding the edges (u, v) to G whenever 2 $\leq$ dist(u, v) $\leq$ p in G. And the pebbling exponent of a graph G to be the least power of p such that the pebbling number of $G^p$ is equal to the number of vertices of G. We compute the pebbling number of fourth power of paths so that the pebbling exponents of some paths are calculated.
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참고문헌 (7)
참고문헌 신청
F.R.K.Chung / 1989 / Pebbling in hypercubes / SIAM J. Disc. Math. 2(4):467~472
D. Du®us / 1983 / Graphs orientalbe as distributive lattices / Proc. Amer. Math. Soc. :197~200
P. Lemke / 1989 / An additional theorem on the intergers modulo n / J. Number Theory 31:335~345
D. Moews / 1992 / Pebbling graphs / J. of combinatorial Theory(Series B) 55:224~252
H.S.Snevily / The 2-pebbling property and a Conjecture of Gra-ham's
D. Du®us / 1983 / Graphs orientalbe as distributive lattices / Proc. Amer. Math. Soc. :197~200
P. Lemke / 1989 / An additional theorem on the intergers modulo n / J. Number Theory 31:335~345
D. Moews / 1992 / Pebbling graphs / J. of combinatorial Theory(Series B) 55:224~252
H.S.Snevily / The 2-pebbling property and a Conjecture of Gra-ham's
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