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1. Top results related to what is a non-trivial graph example of interest

   • What is a non-trivial constructor in C++?

     Top Answer

     Answered Oct 10, 2010 · 104 votes

     In simple words a "trivial" special member function literally means a member function that does its job in a very straightforward manner. The "straightforward manner" means different thing for different kinds of special member functions.

     For a default constructor and destructor being "trivial" means literally "do nothing at all". For copy-constructor and copy-assignment operator, being "trivial" means literally "be equivalent to simple raw memory copying" (like copy with memcpy).

     If you define a constructor yourself, it is considered non-trivial, even if it doesn't do anything, so a trivial constructor must be implicitly defined by the compiler.

     In order for a special member function to satisfy the above requirements, the class must have a very simplistic structure, it must not require any hidden initializations when an object is being created or destroyed, or any hidden additional internal manipulations when it is being copied.

     For example, if class has virtual functions, it will require some extra hidden initializations when objects of this class are being created (initialize virtual method table and such), so the constructor for this class will not qualify as trivial.

     For another example, if a class has virtual base classes, then each object of this class might contain hidden pointers that point to other parts of the very same object. Such a self-referential object cannot be copied by a simple raw memory copy routine (like memcpy). Extra manipulations will be necessary to properly re-initialize the hidden pointers in the copy. For this reason the copy constructor and copy-assignment operator for this class will not qualify as trivial.

     For obvious reasons, this requirement is recursive: all subobjects of the class (bases and non-static members) must also have trivial constructors.

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   • What is a real life example of a Moore machine?

     Top Answer

     Answered May 11, 2014 · 1 votes

     An elevator is a good example of a Moore machine. Imagine that each floor is a different state in the machine. Now, when you press a button to get to a certain level you change the actual state of the machine to the new level without giving any additional input. However, if we take a look at a residential security system, in order for an alarm to start, the system must be in the state of alertness and receiving an additional input generated from an intrusion.

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     2/5

   • What is a real life example of sorting?

     14.7K Sorting is the process of arranging a set of items in a specific order. This order can be based on any number of criteria, such as alphabetical order, numerical order, or date order. Sorting is a common task in many different fields, including computer science, data analysis, and library science.

     Real-Life Examples of Sorting:

     There are many real-life examples of sorting. Here are a few:

     1. Sorting a deck of cards:

     When you sort a deck of cards, you are arranging them in a specific order, such as by suit or by rank. This makes it easier to find the cards you need when you are playing a game.

     2. Sorting a list of names:

     When you sort a list of names, you are arranging them in alphabetical order. This makes it easier to find the name you are looking for.

     3. Sorting a list of numbers:

     When you sort a list of numbers, you are arranging them in numerical order. This makes it easier to find the largest or smallest number in the list.

     4. Sorting a list of dates:

     When you sort...

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     3/5

   • What is a real life example of CORBA?

     Top Answer

     Answered Jan 08, 2011 · 11 votes

     CORBA might be used to build a language-independent, O/S-independent distributed system. For example, C++ on Linux developers could build a common distributed system with Java on Windows developers. IDL describes the interfaces that bind the two implementations over a common substrate (CORBA).

     CORBA is also useful when building a plain old distributed object system - it has a rich set of services defined and is generally very well thought out. However, these days - depending on the language - many folks have opted for either simpler (e.g., RMI, protocol buffers) or message-based protocols (e.g., HTTP) for building distributed systems, so it's not as common. CORBA suffered from design-by-committee (esp on things like security).

     More info:

     http://en.wikipedia.org/wiki/Common_Object_Request_Broker_Architecture

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   • What is a real world example of using a unit struct?

     Top Answer

     Answered May 25, 2021 · 18 votes

     Standard library

     The global memory allocator, Global

     , is a unit struct:

     pub struct Global;-

     It has no state of its own (because the state is global), but it implements traits like Allocator

     .

     The error for string formatting, std::fmt::Error

     , is a unit struct:

     pub struct Error;-

     It has no state of its own, but it implements traits like Error

     .

     The type for the .. operator, RangeFull

     , is a unit struct:

     pub struct RangeFull;-

     It has no state of its own, but it implements traits like RangeBounds

     .

     Crates

     The Utc

     timezone is a unit struct:

     pub struct Utc;-

     It has no state of its own, but it implements traits like TimeZone

     and is thus usable as a generic argument to Date and DateTime.

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2. math.stackexchange.com · questions · 2080962terminology - What is a Non-Trivial Connected Graph ...

   math.stackexchange.com · questions · 2080962

   

   Jan 2, 2017 · A non-trivial connected graph is any connected graph that isn't this graph. A non-trivial connected component is a connected component that isn't the trivial graph, which is another way of say that it isn't an isolated point.

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5. www.geeksforgeeks.org · graph-types-and-applicationsTypes of Graphs with Examples - GeeksforGeeks

   www.geeksforgeeks.org · graph-types-and-applications

   

   • Finite Graphs. A graph is said to be finite if it has a finite number of vertices and a finite number of edges. A finite graph is a graph with a finite number of vertices and edges.
   • Infinite Graph: A graph is said to be infinite if it has an infinite number of vertices as well as an infinite number of edges.
   • Trivial Graph: A graph is said to be trivial if a finite graph contains only one vertex and no edge. A trivial graph is a graph with only one vertex and no edges.
   • Simple Graph: A simple graph is a graph that does not contain more than one edge between the pair of vertices. A simple railway track connecting different cities is an example of a simple graph.

6. math.stackexchange.com · questions · 1364996terminology - What is a nontrivial graph? - Mathematics Stack ...

   math.stackexchange.com · questions · 1364996

   

   Jul 17, 2015 · I use empty graph to mean a graph without edges, and therefore a nonempty graph would be a graph with at least one edge. According to both wikipedia.com and wikibooks.com, a trivial graph is a graph with 1 vertex and 0 edges.

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     Trivial and non trivial graphs

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     Example of Trivial & Non trivial Solution

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     Trivial and Non trivial graphs

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8. www.cs.columbia.edu · ~cs4203 · filesOutline 1.1 Graphs and Digraphs 1.2 Common Families of Graphs ...

   www.cs.columbia.edu · ~cs4203 · files

   

   Proposition 1.1. A non-trivial simple graph G must have at least one pair of vertices whose degrees are equal. Proof. pigeonhole principle Theorem 1.2 (Euler’s Degree-Sum Thm). The sum of the degrees of the vertices of a graph is twice the number of edges. Corollary 1.3. In a graph, the number of vertices having odd degree is an even number.

9. math.mit.edu · research · highschoolGraph Theory and the Six Degrees of Separation - MIT Mathematics

   math.mit.edu · research · highschool

   

   Similarly, any graph with an order >1 would be labeled non-trivial. De nition 6. Whenever two graphs are complimentary, G and G share a vertex set, and for every distinct pair of vertices (u, v) of G, uv is an edge of G but not G (see example below). De nition 7. A bipartite graph is a graph consisting of two disjoint sets where every vertex in one

10. www.math.kit.edu · iag6 · lehreLecture Notes Graph Theory - KIT

    www.math.kit.edu · iag6 · lehre

    

    The graph Gis non-trivial if it contains at least one edge, i.e., E 6= ;. non-trivial Equivalently, Gis non-trivial if Gis not an empty graph. The order of G, denoted by jGj, is the number of vertices of G, i.e., jGj= jVj. order, jGj

11. brilliant.org · wiki · graph-theoryGraph Theory | Brilliant Math & Science Wiki

    brilliant.org · wiki · graph-theory

    

    Examples of graph theory frequently arise not only in mathematics but also in physics and computer science. Terminology. Eulerian Graphs. Planar Graphs. Graph Coloring. Terminology. A non-trivial graph consists of one or more vertices (or nodes) connected by edges.