Geometry of Graph Edit Distance Spaces
نویسنده
چکیده
In this paper we study the geometry of graph spaces endowed with a special class of graph edit distances. The focus is on geometrical results useful for statistical pattern recognition. The main result is the Graph Representation Theorem. It states that a graph is a point in some geometrical space, called orbit space. Orbit spaces are well investigated and easier to explore than the original graph space. We derive a number of geometrical results from the orbit space representation, translate them to the graph space, and indicate their significance and usefulness in statistical pattern recognition.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1505.08071 شماره
صفحات -
تاریخ انتشار 2015