answersLogoWhite

0

If the graph start and end with same vertex and no other vertex can be repeated then it is called trivial graph.

User Avatar

Wiki User

13y ago

What else can I help you with?

Continue Learning about Math & Arithmetic

In graph theory does a point have size?

No.


What is a complete hamilitionian graph?

A complete Hamiltonian graph is a type of graph that contains a Hamiltonian cycle, which is a cycle that visits every vertex exactly once and returns to the starting vertex. In a complete graph, every pair of distinct vertices is connected by a unique edge, ensuring that such a cycle can be formed. Therefore, every complete graph with three or more vertices is Hamiltonian. For instance, the complete graph ( K_n ) for ( n \geq 3 ) is always Hamiltonian.


What is a cycle graph?

A cycle is a closed path such that the end vertex of the final edge is the start vertex of the first edge.


what is orientation in graph theory?

In graph theory, orientation refers to assigning a direction to the edges of an undirected graph, transforming it into a directed graph (or digraph). This process determines a specific direction for each edge, allowing for the representation of relationships that have a clear start and end point. Orientation can be used to study properties such as reachability, connectivity, and flow within the graph. Different orientations can lead to distinct properties and behaviors in the resulting directed graph.


Is ough a quad graph?

In graph theory, a "quad graph" typically refers to a specific type of graph characterized by having four vertices. The term "ough" does not correspond to a recognized graph type or concept. If you meant a specific graph or structure with "ough," please clarify, and I can provide more information.

Related Questions

Is cycle and circuit in graph theory same?

No its not. A cycle is closed trail


What is the cycle size of the given graph?

The cycle size of a graph is the number of vertices in the smallest cycle in the graph.


The group of a composite graph?

defines in graph theory defines in graph theory


How does the concept of a vertex cover relate to the existence of a Hamiltonian cycle in a graph?

In graph theory, a vertex cover is a set of vertices that covers all edges in a graph. The concept of a vertex cover is related to the existence of a Hamiltonian cycle in a graph because if a graph has a Hamiltonian cycle, then its vertex cover must include at least two vertices from each edge in the cycle. This is because a Hamiltonian cycle visits each vertex exactly once, so the vertices in the cycle must be covered by the vertex cover. Conversely, if a graph has a vertex cover that includes at least two vertices from each edge, it may indicate the potential existence of a Hamiltonian cycle in the graph.


When was Journal of Graph Theory created?

Journal of Graph Theory was created in 1977.


What is a negative cycle in Graph?

In a weighed graph, a negative cycle is a cycle whose sum of edge weights is negative


What is a circuit in graph theory?

no


What is a min cut and how does it relate to graph theory?

A min cut in graph theory is the smallest number of edges that need to be removed to disconnect a graph. It is important in graph theory because it helps identify the most crucial connections in a network. By finding the min cut, we can understand the resilience and connectivity of a graph.


How many nodes are in a family branch tree in graph theory?

In Mathematics and Computer Science, the graph theory is just the theory of graphs basically overall. It's basically the relationship between objects. The nodes are just lines that connects the graph. There are a total of six nodes in a family branch tree for a graph theory basically.


What is the dominating set problem and how does it relate to graph theory?

The dominating set problem in graph theory involves finding the smallest set of vertices in a graph such that every other vertex is either in the set or adjacent to a vertex in the set. This problem is important in graph theory as it helps in understanding the concept of domination and connectivity within a graph.


How is a Planar graph used is graph theory?

In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other.


In graph theory does a point have size?

No.