|
In graph theory, an overfull graph is a graph whose size is greater than the product of its maximum degree and half of its order floored, i.e. where is the size of ''G'', is the maximum degree of ''G'', and is the order of ''G''. The concept of an overfull subgraph, an overfull graph that is a subgraph, immediately follows. An alternate, stricter definition of an overfull subgraph S of a graph G requires . ==Properties== A few properties of overfull graphs: # Overfull graphs are of odd order. # Overfull graphs are class 2. That is, they require at least colors in any edge coloring. # A graph ''G'', with an overfull subgraph ''S'' such that , is of class 2. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Overfull graph」の詳細全文を読む スポンサード リンク
|