## What is Facebook social graph?

As of 2010, **Facebook's social graph** is the largest **social** network dataset in the world, and it contains the largest number of defined relationships between the largest number of people among all websites because it is the most widely used **social** networking service in the world.

## Why is social graphing important?

The **social graph** is about understanding those followers, fans and connections in a deeper way, in order to engage with an ever increasing number of people. The idea of the **social graph** is to look at who is following and connected to those individuals following you.

## What is social network graph?

A **social network graph** is a **graph** where the nodes represent people and the lines between nodes, called edges, represent **social** connections between them, such as friendship or working together on a project. These **graphs** can be either undirected or directed.

## What are the applications of graph?

**Applications of Graph Theory**

- Graphs are used to define the flow of
**computation**. - Graphs are used to represent networks of
**communication**. - Graphs are used to represent data organization.
- Graph transformation systems work on rule-based in-memory manipulation of graphs.

## What are the types of graph?

**Types of Graphs and Charts**

**Bar**Chart/Graph.- Pie Chart.
- Line Graph or Chart.
**Histogram**Chart.- Area Chart.
- Dot Graph or Plot.
- Scatter Plot.
- Bubble Chart.

## How is graph theory used today?

**Graph** theoretical concepts are widely **used** to study and model various applications, in different areas. They include, study of molecules, construction of bonds in chemistry and the study of atoms. Similarly, **graph theory** is **used** in sociology for example to measure actors prestige or to explore diffusion mechanisms.

## Where do we use graphs in real life?

**5 Practical Applications of Graph Data Structures in Real Life**

- Social
**Graphs**. - Knowledge
**Graphs**. - Recommendation Engines.
- Path Optimization Algorithms.
- Scientific Computations.

## What is graph and its application?

A **graph** is a non-linear data structure, which consists of vertices(or nodes) connected by edges(or arcs) where edges may be directed or undirected. In Computer science **graphs** are used to represent the flow of computation.

## What is the purpose of using charts and graphs?

**Graphs** and **charts** are visuals that show relationships between data and are intended to display the data in a way that is easy to understand and remember. People often use **graphs** and **charts** to demonstrate trends, patterns and relationships between sets of data.

## When was a graph first used?

18th century

## Who made the first graph?

William Playfair

## Who invented math?

Ancient Greeks

## What is a K4 graph?

**K4** is a maximal planar **graph** which can be seen easily. In fact, a planar **graph** G is a maximal planar **graph** if and only if each face is of length three in any planar embedding of G. Corollary 1.

## Is K4 a eulerian?

Note that **K4**,4 is the only one of the above with an **Euler** circuit.

## How do you know if a graph is complete?

In the **graph**, a vertex should have edges with all other vertices, then it called a **complete graph**. In other words, **if** a vertex is connected to all other vertices in a **graph**, then it is called a **complete graph**.

## What is a K3 graph?

In the mathematical field of **graph** theory, a complete bipartite **graph** or biclique is a special kind of bipartite **graph** where every vertex of the first set is connected to every vertex of the second set. ... Llull himself had made similar drawings of complete **graphs** three centuries earlier.

## How do you know if a graph is planar?

A **graph** is said to be **planar if** it can be drawn in a plane so that no edge cross. Example: The **graph** shown in fig is **planar graph**. Region of a **Graph**: Consider a **planar graph** G=(V,E). A region is defined to be an area of the plane that is bounded by edges and cannot be further subdivided.

## How do you know if a graph is bipartite?

**The graph is a bipartite graph if:**

- The vertex set of can be partitioned into two disjoint and independent sets and.
- All the edges from the edge set have one endpoint vertex from the set and another endpoint vertex from the set.

## Is K3 bipartite?

Then there is a plane embedding of **K3**,3 satisfying v − e + f = 2, Euler's formula. Note that here, v = 6 and e = 9. Moreover, since **K3**,3 is **bipartite**, it contains no 3-cycles (since it contains no odd cycles at all). So each face of the embedding must be bounded by at least 4 edges from **K3**,3.

## Why is K5 not planar?

We now use the above criteria to find some **non**-**planar** graphs. **K5**: **K5** has 5 vertices and 10 edges, and thus by Lemma 2 it is **not planar**. K3,3: K3,3 has 6 vertices and 9 edges, and so we cannot apply Lemma 2. ... In fact, any graph which contains a “topological embedding” of a **nonplanar** graph is **non**- **planar**.

## How many edges are there in a complete graph of order 9?

36 edges

## How many vertices does a regular graph of degree 4 with 10 edges have?

5

## How many edges are there in a graph with 10 vertices each of degree six?

Example: **How many edges are there in a graph with 10 vertices**, **each** having **degree six**? Solution: the sum of the **degrees** of the **vertices** is **6** ⋅ **10** = 60. The handshaking theorem says 2m = 60. So the number of **edges** is m = 30.

## How many edges will be there in a 3 regular graph of 6 vertices?

For **3 vertices** the maximum number of **edges** is **3**; for 4 it is **6**; for 5 it is 10 and for **6** it is 15. For n,N=n(n−1)/2. **There** are two ways at least to prove this.

## How many vertices does a regular graph have?

The smallest **graphs** that are **regular** but not strongly **regular** are the cycle **graph** and the circulant **graph** on 6 **vertices**. ‑**regular graph** on 2 k + 1 **vertices** has a Hamiltonian cycle.

## Is every regular graph is complete graph?

Ans: A **graph** is said to be **regular** if **all** the vertices are of same degree. Yes a **complete graph** is always a **regular graph**.

## Is null graph a regular graph?

Definition: A **graph** is a **Null Graph** if there are no edges in the **graph**, that is $\mid \: E(G) \: \mid = 0$. We should note that **null graphs** always have degree since there are no edges joining the vertices. **Null graphs** also have edges clearly. We can say that **null graphs** are also 0-**regular**.

## What is a 2 regular graph?

A **two**-**regular graph** is a **regular graph** for which all local degrees are **2**. A **two**-**regular graph** consists of one or more (disconnected) cycles. The numbers of **two**-**regular graphs** on , **2**, ... nodes are 0, 0, 1, 1, 1, **2**, **2**, 3, 4, 5, ... ( OEIS A008483), which are equivalent to the numbers of partitions of into parts.

## What makes a graph regular?

A **graph** is called **regular graph** if degree of each vertex is equal. A **graph** is called K **regular** if degree of each vertex in the **graph** is K.

## What makes a graph eulerian?

Definition: A **graph** is considered **Eulerian** if the **graph** is both connected and has a closed trail (a walk with no repeated edges) containing all edges of the **graph**. Definition: An **Eulerian** Trail is a closed walk with no repeated edges but contains all edges of a **graph** and return to the start vertex.

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