May 3, 2018 · A vertex with no children (degree 0) is called a leaf. Vertices other than leaves / roots are called internal vertices. These are sometimes called downward branches in a rooted …

Mar 17, 2025 · Tree vertex splitting is often used in tree-related algorithms, such as tree traversal algorithms, for example, bfs and dfs and tree decomposition algorithms, for instance, finding …

May 29, 2009 · T(V,E) is a tree, which implies that for any leaf, any minimal vertex cover has to include either the leaf or the vertex adjacent to the leaf. This gives us the following algorithm to …

Aug 5, 2024 · 2. Vertex (Node) A Vertex, often referred to as a Node, is a fundamental unit of a graph. It represents an entity within the graph. In applications like social networks, vertices can …

A rooted tree is a graph G satisfying the following three conditions: G is connected; G has no cycles; G has exactly one vertex call the root. The depth of a vertex v in a rooted tree is the …

Binary trees are ubiquitous in computer science, and you should understand their properties well. A full binary tree is a binary tree in which each vertex either is a leaf or has exactly two …

A tree is a set of nodes for storing elements in a parent-child relationship. Root: top-most vertex; Parent/child: direct links in a tree; Siblings: children of the same parent; Ancestor: predecessor …

Feb 13, 2025 · For example, vertex B, C, D are internal vertices. If v is a vertex, then the tree formed by v together with all its descendent is called a subtree. A tree may only have a root …

5 days ago · Trees are another node-based data structure, like linked lists. When we first encountered trees in the form of binary minheaps, we used an array as our underlying …

While exploring the neighbors of a vertex, it the algorithm encounters an edge leading to a previously visited vertex other than its immediate predecessor (i.e., its parent in the tree), such …