in a connected graph vs on a connected graph

Both 'in a connected graph' and 'on a connected graph' are commonly used in English, but they are used in slightly different contexts. 'In a connected graph' is used when referring to properties or elements that exist within the graph itself, while 'on a connected graph' is used when discussing actions or operations that are performed on the graph.

Last updated: April 01, 2024 • 654 views

This phrase is correct and commonly used in English when referring to properties or elements that exist within the graph itself.

"in a connected graph"

Use 'in a connected graph' when discussing properties, elements, or characteristics that are part of the graph structure itself.

Examples:

In a connected graph, every pair of vertices is connected by a path.
The concept of connectivity is important in a connected graph.

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The above computations and the final condition are valid for any connected planar graph with no triangles, multiple connection or loops.
Even report-generation is 100% configurable and adaptable to your needs, with an in-built function, if desired, to stratify answers and to view results through several different graphs (connected to the typology of answer selected for each question).
An example of Euler's formula: in this case V=7, E=10 and F=5. As for all connected planar graphs we have V-E+F = 7-10+5 = 2
Subject:Communication Safeguarding privacy in a connected world.
The cut-off time for cross-border customer payments sent from a participant in a connected NCB's RTGS system via a serviceproviding NCB is 16.52:30.
The big theme of MWC: How to live in a connected world
Yoani Sánchez on the top of Google Ideas "Conflict in a connected world" talks about the meatless beef hash and Internet Internet Cubans.
We found that six- to 13-year-olds can self-instruct in a connected environment, irrespective of anything that we could measure.
So, absolute figures, like the military budget, in a connected world, don't give you the whole picture.
We now live in a connected age where we can locate anyone, anytime, in real-time, from a small device in our hands.
It is important for the market that future standardisation work takes into account new technological developments as in the future, users will move their e-signature key from device to device in a connected world.
Int send(int s, const char *msg, int len, int flags); may be used only when the socket is in a connected state,
Back up directly to a connected cloud service.
The company partnered with Dassault Systèmes to address the challenges of a connected mobility market.
The GUCCI SYNC collection is aimed at a connected, young music-loving audience.
You need to run the webserver, with a connected PHP installation.
You can still simulate a connected operation where the stream is encapsulated in normal IP packets.
The track display function cannot be used for the jukebox or a connected iPod.
The default message is under normal service then substituted with correct messages by a connected encoder.
A polyline is a connected sequence of segments created as a single object.

Alternatives:

within a connected graph
inside a connected graph
among the vertices of a connected graph
amidst a connected graph
amid a connected graph

This phrase is correct and commonly used in English when discussing actions or operations that are performed on the graph.

"on a connected graph"

Use 'on a connected graph' when describing actions, operations, or analyses that are carried out with respect to the graph.

Examples:

We can perform various algorithms on a connected graph.
The shortest path algorithm works well on a connected graph.

Show examples from the web [+]

The above computations and the final condition are valid for any connected planar graph with no triangles, multiple connection or loops.
Even report-generation is 100% configurable and adaptable to your needs, with an in-built function, if desired, to stratify answers and to view results through several different graphs (connected to the typology of answer selected for each question).
An example of Euler's formula: in this case V=7, E=10 and F=5. As for all connected planar graphs we have V-E+F = 7-10+5 = 2
Terminals provide a convenient and low-cost way to access your FreeBSD system when you are not at the computer's console or on a connected network.
SK Telecom has successfully tested its 5G network on a connected car running at 170 kilometers per hour, reaching 3.6Gbps data transfer speeds.
In this way you can create centralized measuring data archives in the internal Box memory or on a connected USB storage medium which are available to you anytime for individual further processing.
The portable program for the Windows operating system scans a folder on a connected hard drive to compare the file names of all files with movie titles on IMDB.
Images are displayed on a connected TV set, and sound plays through the TV or a connected audio system.
If you are connected to a LAN network as an ASP client, then it is possible that your e-mails are stored on the server or on a connected special dedicated email server using either Microsoft Exchange or Lotus Notes.
Recovered files can be saved on any (including network) disks accessible by the host operating system. Recovered files may be saved on a disk on a connected remote computer rather than be transferred over network to the local one.
Once enabled, when you select play on the preview window, you can preview your production on both your primary and secondary display (TV or monitor), or on a connected DV camcorder, depending on your selected preference.
Subject:Communication Safeguarding privacy in a connected world.
Back up directly to a connected cloud service.
The company partnered with Dassault Systèmes to address the challenges of a connected mobility market.
The GUCCI SYNC collection is aimed at a connected, young music-loving audience.
You need to run the webserver, with a connected PHP installation.
You can still simulate a connected operation where the stream is encapsulated in normal IP packets.
The track display function cannot be used for the jukebox or a connected iPod.
The default message is under normal service then substituted with correct messages by a connected encoder.
A polyline is a connected sequence of segments created as a single object.

Alternatives:

with a connected graph
using a connected graph
for a connected graph
regarding a connected graph
in relation to a connected graph

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in a connected graph vs on a connected graph