## What is a cotree?

The cotree of a spanning tree in a connected graph is the spacing subgraph of containing exactly those edges of which are not in. (Harary 1994, p. 39).

**Is a bipartite graph a Cograph?**

Related graph families Every complete graph Kn is a cograph, with a cotree consisting of a single 1-node and n leaves. Similarly, every complete bipartite graph Ka,b is a cograph.

**What is induced subgraph in graph theory?**

In graph theory, an induced subgraph of a graph is another graph, formed from a subset of the vertices of the graph and all of the edges (from the original graph) connecting pairs of vertices in that subset.

### What is node and branch?

A node is the point of connection between two or more branches. A branch represents a single element such as a voltage source or a resistor.

**What is meant by oriented graph?**

An oriented graph is a directed graph having no symmetric pair of directed edges. A complete oriented graph is called a tournament.

**How do you know if a graph is perfect?**

It states that a graph is perfect if the sizes of the largest clique, and the largest independent set, when multiplied together, equal or exceed the number of vertices of the graph, and the same is true for any induced subgraph.

## What is P3 in graph theory?

A Pk of a graph is a subset of k of the vertices of the graph that induces a chordless path. For example, a P3 is any subset [a, b, c] of the vertex set such that exactly two of [a, b], [a, c], [b, c] are edges of the graph. The Pk -structure of a graph G, written Pk(G), is the set of all Pk ‘s of G.

**What is C4 graph?**

Abstract. The edge C4 graph of a graph G, E4(G) is a graph whose vertices are the edges of G and two vertices in E4(G) are adjacent if the corre- sponding edges in G are either incident or are opposite edges of some C4.

**What is the difference between subgraph and induced subgraph?**

3.1. What’s the Difference? , whereas an ordinary subgraph may miss some. So, an induced subgraph keeps both adjacency and non-adjacency of the inducing vertices, in contrast to an ordinary subgraph that preserves only non-adjacency.

### What is the complement of a graph?

In graph theory, the complement or inverse of a graph G is a graph H on the same vertices such that two distinct vertices of H are adjacent if and only if they are not adjacent in G.

**What is loop and node?**

A node is the point of connection between two or more branches. A branch represents a single element such as a voltage source or a resistor. A loop is any closed path in a circuit.

**What is a cograph graph?**

A cograph is a graph in which every nontrivial induced subgraph has at least two vertices with the same neighbourhoods. A cograph is a graph in which every connected induced subgraph has a disconnected complement. A cograph is a graph all of whose connected induced subgraphs have diameter at most 2.

## What is a coordinate graph?

A coordinate graph is a set of two number lines that run perpendicular to one another. These number lines are called axes. The horizontal number line is the x-axis, and the vertical number line is the y-axis.

**Can you graph CO2 levels on a website?**

Atmospheric CO 2 Levels Graph This graph features atmospheric CO2 levels that combine measurements from as far back as 800,000 years up to the present day with an atmospheric temperature overlay option. The graph is customizable and can be resized, printed, or pasted into your website.

**What is a special case of a cograph?**

Special cases of the cographs include the complete graphs, complete bipartite graphs, cluster graphs, and threshold graphs. The cographs are, in turn, special cases of the distance-hereditary graphs, permutation graphs, comparability graphs, and perfect graphs . Any cograph may be constructed using the following rules: .