📘 graph theory

1. **Nyatakan masalah:** Kita diberi enam bahan kimia A, B, C, D, E, F dan senarai bahan kimia yang tidak boleh disimpan bersama. 2. **Lukis graf mudah:** Setiap bahan kimia diwaki

1. **Énoncé du problème** : L'objectif est d'extraire un sous-graphe complet d'ordre 8 à partir du graphe donné.

1. **State the problem:** We need to find the total cost of the Hamilton circuit A, B, C, E, D, A using the given weighted graph.

1. **Problem Statement:** We have an undirected graph $G_c$ with vertices $\{2,3,4,5,6,7,8,9,10\}$ and edges defined between vertices whose greatest common divisor (gcd) is greater

1. **Enunciado do problema:** Temos cinco cidades: Lisboa, Aveiro, Coimbra, Évora e Beja, com distâncias dadas entre cada par. O objetivo é encontrar um itinerário que passe por ca

1. **Problem statement:** We have a connected graph with vertices A, B, C, D, E, F, G, H, I, J and edges forming triangles and diamond shapes. We need to remove the least number of

1. **Problem Statement:** Explain why the given graph has at least one Euler path and find one such path starting at vertex A.

1. The problem is to find a path that uses each bridge exactly once. 2. This is a classic problem related to Eulerian paths in graph theory.

1. **Problem Statement:** We have a graph representing land masses (vertices) A, B, C, D, and E connected by bridges (edges). We want to determine if there is a circuit (Eulerian c

1. **Planteamiento del problema:** Queremos encontrar el castor que debe informar primero la noticia para que esta llegue a todos los castores lo antes posible.

1. Le problème consiste à créer un arbre pondéré, c'est-à-dire un arbre où chaque arête a un poids ou une valeur associée. 2. Un arbre est un graphe connexe sans cycle.

1. **Problem Statement:** Determine if the wiggly edges form a spanning tree for the graph with vertices $A, B, C, D, E, F, H, I$ and edges as described. 2. **Recall:** A spanning

1. **Problem Statement:** Determine if the wiggly edges in each graph (a, b, c, d) form a spanning tree. 2. **Definition and Formula:** A spanning tree of a graph is a subgraph tha

1. The problem asks to fill in the table showing the values of the edge-endpoint function for the given graph. 2. The vertex set is $\{v_1,v_2,v_3,v_4\}$ and the edge set is $\{e_1

1. **State the problem:** We need to remove the least number of edges from the given graph so that the resulting graph has an Euler circuit. An Euler circuit is a path that uses ev

1. **Énoncé du problème** : Nous devons représenter les étapes d'une compétition d'athlétisme sous forme d'un graphe valué et orienté, puis déterminer le nombre minimum de jours né

1. **State the problem:** We need to find the shortest possible route from Brighton to Cheltenham using the given distances between towns. 2. **List the towns and distances:**

1. **State the problem:** We need to find the shortest route from Oakdale to Sparrovtown using the given paths and distances. 2. **List the paths and distances:**

1. Problem: Determine the chromatic number of the graph G = (V, E) where V is the set of cities in Metro Manila and E is the set of edges representing adjacency between cities. 2.

1. The problem describes a graph with nodes and connections, but no explicit question is given. 2. Since the user message does not contain a clear math problem or question, there i

1. The problem describes a tree graph with a central oval node connected to three nodes labeled 78, 4, and 9. 2. Since the problem does not specify a question, we interpret it as f