1. of a vertex of a graph. The number of edges incident
with the vertex,
i.e. that emanate from that vertex. In a directed graph, the indegree is the
number of edges entering a vertex while the outdegree is the number leaving a
2. of a node in a tree. The number of children of that node, i.e. the number of
subtrees rooted at that node. More correctly, this is the outdegree of the node.
3. of a tree. The maximum degree of all the nodes in the tree.
4. of a polynomial. See polynomial equation.