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incidence poset : ウィキペディア英語版
incidence poset
In mathematics, an incidence poset or incidence order is a type of partially ordered set that represents the incidence relation between vertices and edges of an undirected graph. The incidence poset of a graph ''G'' has an element for each vertex or edge in ''G''; in this poset, there is an order relation ''x'' ≤ ''y'' if and only if either ''x'' = ''y'' or ''x'' is a vertex, ''y'' is an edge, and ''x'' is an endpoint of ''y''.
==Example==
As an example, a zigzag poset or ''fence'' with an odd number of elements, with alternating order relations ''a'' < ''b'' > ''c'' < ''d''... is an incidence poset of a path graph.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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