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WebGraph theory is a branch of mathematics and computer science that studies graphs, which are mathematical structures used to model pairwise relationships between objects. A graph consists of a set of vertices (also called nodes or points) and a set of edges (also called lines or arcs) that connect pairs of vertices. ...WebJan 29, 2024 · It is known that any tree has one or two weight centers. A tree is called a two-branch tree if the removal of all its weight centers results in a forest with exactly two components. In this paper we obtain a sharp lower bound for the radio number of two-branch trees which improves a known lower bound for general trees. greenbackville real estate
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WebAlgebraic graph theory can be viewed as an extension to graph theory in which algebraic methods are applied to problems about graphs (Biggs [16]). Spectral graph theory, as the main branch of algebraic graph theory, is the study of properties of graphs in relationship to the characteristic polynomial, eigenvalues and eigenvectors of matrices ...WebWe prove a conjecture stating that the branchwidth of a graph and the branchwidth of the graph's cycle matroid are equal if the graph has a cycle of length at least 2. The branchwidth of graphs and their cycle matroids Journal of Combinatorial Theory Series BA tree is an undirected graph G that satisfies any of the following equivalent conditions: • G is connected and acyclic (contains no cycles). • G is acyclic, and a simple cycle is formed if any edge is added to G. • G is connected, but would become disconnected if any single edge is removed from G. flowers for algernon worksheet