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Consider any nonroot vertex v.
Assume that a vertex v ik is connected to a vertex v ml.
Assume a vertex v ik is connected to a vertex v mr with r≠k.
Such a vertex v is called an independent vertex.
where d v) denote the degree of the vertex v.
(a) Vertex v where three edges of the lattice meet.
Each vertex v i ∈ V represents a combination C i ′.
At every vertex v, identify v01 and v10 and their subtrees.
Given any path from vertex V r to vertex V s we can form a sequence of contractions resulting in a unique path that cannot be contracted further.
Given a graph G and a vertex v in G, the maximal cliques of the vertex v refer to the maximal cliques containing v in G.
For a vertex v in a multi-graph G, let deg v G) denote the number of edges incident to vertex v (i.e., degree of v).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com