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Outdegree vs. Indegree — What's the Difference?

By Tayyaba Rehman — Updated on October 27, 2023
Outdegree measures outgoing connections from a node in a network, while indegree counts incoming connections to that node.
Outdegree vs. Indegree — What's the Difference?

Difference Between Outdegree and Indegree

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Key Differences

In network theory, outdegree refers to the number of edges leading out from a node. Indegree is the count of edges leading into a node.
Outdegree indicates the extent of influence or transmission from a node. Indegree reflects the level of reception or influence on a node.
High outdegree signifies active distribution or communication from a node. High indegree implies a node is a significant receiver or target.
In directed graphs, outdegree and indegree are crucial for understanding asymmetrical relationships. The former shows output, the latter input.
Analyzing outdegree and indegree helps in identifying hubs, authorities, or isolated nodes in networks, reflecting different roles and dynamics.
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Comparison Chart

Definition

Outgoing connections from a node
Incoming connections to a node

Indicates

Influence or transmission
Reception or target of influence

High Value Implication

Active distributor
Significant receiver

Role in Directed Graphs

Measures output
Measures input

Analytical Use

Identifies hubs, communicators
Identifies authorities, receivers

Compare with Definitions

Outdegree

Count of outgoing edges from a node.
The outdegree of this node is five, indicating it connects to five others.

Indegree

Incoming degree in directed graphs.
Analyzing indegree helps in optimizing network resources.

Outdegree

Outgoing degree in directed graphs.
The outdegree helps understand traffic flow in transportation networks.

Indegree

Count of incoming edges to a node.
The indegree of the server node is high, showing many connections.

Outdegree

Indicator of transmission or distribution.
Routers with high outdegree handle substantial data traffic.

Indegree

Indicator of influence or targeting.
A celebrity’s social media profile typically has a high indegree.

Outdegree

Representation of outward connections.
Nodes with zero outdegree are often endpoints in a network.

Indegree

Measurement of a node’s reception.
Nodes with high indegree are usually important information receivers.

Outdegree

Measurement of a node’s influence.
A high outdegree in social networks suggests a popular user.

Indegree

Representation of inward connections.
A node with zero indegree is often a starting point in networks.

Outdegree

(graph theory) The number of edges directed out of a vertex in a directed graph.

Indegree

(graph theory) The number of edges directed into a vertex in a directed graph

Common Curiosities

Is outdegree relevant in undirected graphs?

In undirected graphs, outdegree and indegree are generally the same.

Can a node have zero outdegree or indegree?

Yes, nodes can have zero outdegree or indegree in certain network structures.

What does a high indegree signify?

It indicates the node is a significant target or receiver.

What do outdegree and indegree measure in networks?

Outdegree measures outgoing connections, indegree measures incoming ones.

Are outdegree and indegree always non-negative?

Yes, they represent counts of connections and can’t be negative.

Are outdegree and indegree used in traffic analysis?

Yes, they help understand flow patterns in transportation systems.

What’s the significance of indegree in web page linking?

High indegree often implies the webpage is a popular or authoritative source.

Can a node have both high outdegree and indegree?

Yes, some nodes are both major influencers and receivers.

How do outdegree and indegree help in network analysis?

They help identify key nodes, influencers, and receivers in a network.

What does a balanced outdegree and indegree suggest?

It suggests equal influence and reception, common in collaborative networks.

In social networks, what does outdegree indicate?

It indicates the level of activity or influence of a user.

Do outdegree and indegree apply to biological networks?

Yes, they’re applicable in studying neural or ecological networks.

Can outdegree and indegree change over time?

Yes, in dynamic networks, these metrics can change as connections evolve.

Can indegree be used to identify influencers?

In some contexts, high indegree can indicate influential nodes.

Do these metrics apply to computer networking?

Yes, they’re useful in analyzing data flow and network topology.

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Author Spotlight

Written by
Tayyaba Rehman
Tayyaba Rehman is a distinguished writer, currently serving as a primary contributor to askdifference.com. As a researcher in semantics and etymology, Tayyaba's passion for the complexity of languages and their distinctions has found a perfect home on the platform. Tayyaba delves into the intricacies of language, distinguishing between commonly confused words and phrases, thereby providing clarity for readers worldwide.

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