In graph theory, a k-tree is an undirected graph formed by starting with a (k + 1)-vertex complete graph and then repeatedly adding vertices in such a way that each added vertex v has exactly …

2025年4月3日 · From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/k-Tree.html. The k-tree on k+1 vertices is the complete graph K_ (k+1). k-trees on n>k+1 …

2023年3月9日 · What does Partial k-trees means? Partial K-trees, or k-ary trees, are a type of directed acyclic graph (DAG) that serves as an efficient way to store and retrieve data from a …

2015年4月19日 · A graph is called a $k$-tree if and only if either $G$ is the complete graph with $k$ vertices, or $G$ has a vertex $v$ with degree $k − 1$ such that $G \setminus v$ is a $k$ …

In graph theory, a partial k-tree is a type of graph, defined either as a subgraph of a k-tree or as a graph with treewidth at most k. [1] Many NP-hard combinatorial problems on graphs are …

2024年5月8日 · A k-tree is a chordal graph that can be recursively defined as follows. The complete graph with \(k+1\) vertices is a k-tree. A k-tree with \(n+1\) vertices \((n\ge k+1)\) can …

A k-tree is a graph that can be formed by starting with K k+1 and iterating the operation of making a new vertex adjacent to all the vertices of a k-clique of the existing graph. When the order n > …

A k -tree is an infinite rooted tree where: if we look at the edges that goes from some vertex to its children (exactly k edges), then their weights will equal 1, 2, 3, ..., k. The picture below shows …

2022年9月14日 · A k-tree is a graph that can be formed by starting with \(K_{k+1}\) and iterating the operation of making a new vertex adjacent to all the vertices of a k-clique of the existing …

2023年1月25日 · We present a new characterization of $k$-trees based on their reduced clique graphs and $(k+1)$-line graphs, which are block graphs. We explore structural properties of …