Skip to main content



Graph theory is a branch of mathematics that deals with the study of graphs. A graph is a mathematical representation of a set of objects, called vertices or nodes, connected by links, called edges. Graphs are a fundamental tool for modeling and solving problems in various fields, including computer science, operations research, social sciences, biology, and many others.
 
In a graph, vertices represent entities, and edges represent relationships between these entities. Graph theory focuses on understanding the properties and relationships between these entities and how they are connected.

Here are some key concepts in graph theory:

Vertex (Node): A fundamental element of a graph, representing an entity or an object.

Edge (Link): A connection between two vertices, representing a relationship between the corresponding entities.

Degree of a Vertex: The number of edges incident to a vertex. In a directed graph, there is an in-degree and an out-degree for each vertex.

Directed Graph (Digraph): A graph in which edges have a direction, indicating the flow or direction of a relationship between vertices.

Undirected Graph: A graph in which edges have no direction, and relationships between vertices are symmetric.

#GraphTheory #Graphs #Vertices #Edges #Connectivity #Degree #Paths #Cycles #PlanarGraphs #SpanningTrees #MinimumSpanningTrees #EulerianGraphs #HamiltonianGraphs #GraphColoring #ChromaticNumber #GraphIsomorphism #GraphTheoryProblems #GraphAlgorithms #Networks #GraphDatabase #SocialNetworkAnalysis #GraphClustering #Centrality #GraphMetrics #GraphVisualization #GraphMining #GraphEmbedding #GraphNeuralNetworks #RandomGraphs #BipartiteGraphs #DirectedGraphs

Visit Our Website: networkscience.researchw.com 
Visit Our Conference Nomination : https://x-i.me/netcon 
Visit Our Award Nomination : https://x-i.me/netnom 
Contact us : network@researchw.com 

Get Connected Here:
 ================== 


Comments

Post a Comment

Popular posts from this blog

HealthAIoT: Revolutionizing Smart Healthcare! HealthAIoT combines Artificial Intelligence and the Internet of Things to transform healthcare through real-time monitoring, predictive analytics, and personalized treatment. It enables smarter diagnostics, remote patient care, and proactive health management, enhancing efficiency and outcomes while reducing costs. HealthAIoT is the future of connected, intelligent, and patient-centric healthcare systems. What is HealthAIoT? HealthAIoT is the convergence of Artificial Intelligence (AI) and the Internet of Things (IoT) in the healthcare industry. It integrates smart devices, sensors, and wearables with AI-powered software to monitor, diagnose, and manage health conditions in real-time. This fusion is enabling a new era of smart, connected, and intelligent healthcare systems . Key Components IoT Devices in Healthcare Wearables (e.g., smartwatches, fitness trackers) Medical devices (e.g., glucose monitors, heart rate sensors) Rem...
Post a Comment
Read more
 How Network Polarization Shapes Our Politics! Network polarization amplifies political divisions by clustering like-minded individuals into echo chambers, where opposing views are rarely encountered. This reinforces biases, reduces dialogue, and deepens ideological rifts. Social media algorithms further intensify this divide, shaping public opinion and influencing political behavior in increasingly polarized and fragmented societies. Network polarization refers to the phenomenon where social networks—both offline and online—become ideologically homogenous, clustering individuals with similar political beliefs together. This segregation leads to the formation of echo chambers , where people are primarily exposed to information that reinforces their existing views and are shielded from opposing perspectives. In political contexts, such polarization has profound consequences: Reinforcement of Biases : When individuals only interact with like-minded peers, their existing beliefs bec...
Post a Comment
Read more
Detecting Co-Resident Attacks in 5G Clouds! Detecting co-resident attacks in 5G clouds involves identifying malicious activities where attackers share physical cloud resources with victims to steal data or disrupt services. Techniques like machine learning, behavioral analysis, and resource monitoring help detect unusual patterns, ensuring stronger security and privacy in 5G cloud environments. Detecting Co-Resident Attacks in 5G Clouds In a 5G cloud environment, many different users (including businesses and individuals) share the same physical infrastructure through virtualization technologies like Virtual Machines (VMs) and containers. Co-resident attacks occur when a malicious user manages to place their VM or container on the same physical server as a target. Once co-residency is achieved, attackers can exploit shared resources like CPU caches, memory buses, or network interfaces to gather sensitive information or launch denial-of-service (DoS) attacks. Why are Co-Resident Attack...
Post a Comment
Read more