Note on enumeration of labeled split graphs

被引:1
|
作者
Bina, Vladislav [1 ]
Pribil, Jiri [1 ]
机构
[1] Univ Econ Prague, Fac Management Jindrichuv Hradec, Jaraovska 1117-11, Jindrichuv Hradec 37701, Czech Republic
来源
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2015年 / 56卷 / 02期
关键词
graph enumeration; labeled graph; split graph;
D O I
10.14712/1213-7243.2015.112
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper brings explicit formula for enumeration of vertex-labeled split graphs with given number of vertices. The authors derive this formula combinatorially using an auxiliary assertion concerning number of split graphs with given clique number. In conclusion authors discuss enumeration of vertex-labeled bipartite graphs, i.e., a graphical class defined in a similar manner to the class of split graphs.
引用
收藏
页码:133 / 137
页数:5
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