Graph Theory Terminology

noun a thing that is divided into two parts or branches

adjective divided into two parts or branches

• The graph can be represented as a bipartite graph with two sets of vertices.
• The graph is like split into two groups, like a bipartite thing.
• The graph is like divided into two parts, kind of like a bipartite setup.
• Their relationship was like a bipartite arrangement, with clear boundaries between them.

noun an untidy collection of things piled up haphazardly

verb to put or throw in a heap

• The workers piled a heap of documents on the desk for sorting.
• I have a heap of laundry to do this weekend.
• She's got a heap of cash saved up for her trip.
• The project manager felt like a heap of stress had been lifted off his shoulders after the successful completion of the task.

adjective describing a lack of direction or guidance

• The undirected graph allows for connections between nodes in any direction.
• I don't like undirected movies because I prefer a clear plot.
• I'm feeling a bit undirected today, not sure what I want to do.
• Her undirected anger was palpable, but she couldn't pinpoint the source.

noun In this case, 'path length' is a noun phrase consisting of two nouns that together describe a specific distance or measurement along a path.

• The path length of the shortest route between the two cities was calculated to be 150 kilometers.
• I can't believe the path length to get to the beach is only 10 minutes from here!
• The path length to the party is just a hop, skip, and a jump away.
• The path length to success may be long and winding, but it will be worth it in the end.

noun the state of being adjacent or next to something else

adjective relating to or being adjacent

• The adjacency of the two buildings allows for easy access between them.
• I love the adjacency of my house to the park, it's so convenient.
• The adjacency of the two clubs makes bar hopping a breeze.
• The adjacency of their ideas led to a fruitful collaboration.

adjective relating to or in the form of a plane; flat or level

• The engineer designed a planar surface for the new building facade.
• I think a planar layout would work best for the living room.
• Let's keep it planar and simple for this project.
• Her emotions were planar, showing no signs of depth or complexity.

noun the state of being adjacent or next to something else

• The adjacence of the two buildings allows for easy access between them.
• I love the adjacence of the park to my house, it's so convenient.
• The adjacence of the two clubs makes it easy to hop between them for a night out.
• The adjacence of the two ideas in the essay created a seamless flow of thought.

noun the state or quality of being adjacent; nearness

• The study focused on analyzing the economic impact of industrial adjacencies in the region.
• I love living in this neighborhood because of all the cool adjacencies like the park and the coffee shop.
• The party last night had some interesting adjacencies - like a DJ next to a taco truck.
• In literature, the author often explores the adjacencies between love and loss.