摘要
In this paper we provide a solution of the functional equation unsolved in the paper, by the second author, "On functional equations arising from map enumerations" that appeared in Discrete Math, 123: 93-109 (1993). It is also the number of combinatorial distinct rooted general eulerian planar maps with the valency of root-vertex, the number of non-root vertices and non-root faces of the maps as three parameters. In particular, a result in the paper, by the same author, "On the number of eulerian planar maps" that appeared in Acta Math Sinica, 12: 418-423 (1992) is simplified.
In this paper we provide a solution of the functional equation unsolved in the paper, by the second author, “On functional equations arising from map enumerations” that appeared in Discrete Math, 123: 93–109 (1993). It is also the number of combinatorial distinct rooted general eulerian planar maps with the valency of root-vertex, the number of non-root vertices and non-root faces of the maps as three parameters. In particular, a result in the paper, by the same author, “On the number of eulerian planar maps” that appeared in Acta Math Sinica, 12: 418–423 (1992) is simplified.
基金
the National Natural Science Foundation of China (Grant No. 10271017)
