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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 • 646 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.
  • 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.
  • 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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