Supported by NSF of China(No.10001005) and Com~2MaC-KOSEF
A Cayley map is a Cayley graph embedded in an orientable surface such that. the local rotations at every vertex are identical. In this paper, balanced regular Cayley maps for cyclic groups, dihedral groups, and genera...
This work was supported by the National Natural Science Foundation of China(Grant No. 10001005) and by RFDP of China.
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 an...
This work was supported by the National Natural Science Foundation of China (Grant Nos. 49873002, 10001005).
The pebbling number of a graph G,f(G),is the least n such that,no matter how n pebbles are placed on the vertices of G,we can move a pebble to any vertex by a sequence of moves,each move taking two pebbles off one ver...