NDLI: Pebbling numbers of some graphs

Content Provider	Springer Nature Link
Author	Feng, Rongquan Kim, Ju Young
Copyright Year	2002
Abstract	Chung defined a pebbling move on a graphG as the removal of two pebbles from one vertex and the addition of one pebble to an adjacent vertex. The pebbling number of a connected graphG, f(G), is the leastn such that any distribution ofn pebbles onG allows one pebble to be moved to any specified but arbitrary vertex by a sequence of pebbling moves. Graham conjectured that for any connected graphsG andH, f(G xH) ≤ f(G)f(H). In the present paper the pebbling numbers of the product of two fan graphs and the product of two wheel graphs are computed. As a corollary, Graham’s conjecture holds whenG andH are fan graphs or wheel graphs.
Starting Page	470
Ending Page	478
Page Count	9
File Format	PDF
ISSN	10069283
Journal	Science in China Series A: Mathematics
Volume Number	45
Issue Number	4
e-ISSN	18622763
Language	English
Publisher	Science in China Press
Publisher Date	2002-01-01
Publisher Place	Beijing
Access Restriction	Subscribed
Subject Keyword	pebbling Graham’s conjecture Cartesian product fan graph wheel graph Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Pebbling numbers of some graphs