The Constrained Domatic Bipartition Problem (CDBP) consists in determining a bipartition, if it exists, of the nodes into two dominating sets.
Given an undirected graph, the Constrained Domatic Bipartition Problem (CDBP) consists in determining a bipartition, if it exists, of the nodes into two ...
Constrained domatic bipartition on trees. Giovanni Andreatta, Carla De Francesco, Luigi De Giovanni, Paolo Serafini. Constrained domatic bipartition on trees.
A star partition is a partition of the nodes into subsets with at least two nodes so that the subgraph induced by each subset has a spanning star.
People also ask
What is the characterization of a tree in graph theory?
What are the different types of trees in graph theory?
What are the properties of a tree in graph theory?
We are going to apply the algorithm1 for CDBP to the tree T(V,E) in Figure 1, considered as rooted in node 1. Tree T contains n = 5 nodes, ¯N = {0,1,bn/2c ...
Abstract. We consider the following Tree-Constrained Bipartite. Matching problem: Given two rooted trees T1 = (V1,E1), T2 = (V2, E2).
Missing: domatic | Show results with:domatic
Nov 21, 2024 · The domatic number of a graph G, denoted by DN(G), is the maximum number k such that V can be partitioned into k disjoint dominating sets.
Nov 30, 2021 · A set T of trees is said to be compatible if there is a supertree T that is compatible with each tree in T .
Missing: domatic | Show results with:domatic
... constrained domatic bipartition and balanced domatic bipartition, are NP-complete. We also show that star partition problems are polynomial on trees and ...
Apr 9, 2024 · For example, bipartite graphs are perfect, but a thick bipartite graph is not necessarily perfect. See Fig. 2. More obviously, a tree has no ...