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Recent questions in Discrete Mathematics
1
vote
1
answer
5251
Discrete MatheMatics Imp
If A,B,C are 3 sets and R is a subset of A x B i.e R ⊆ A x B S ⊆ B x C Then Prove that :
LavTheRawkstar
asked
in
Set Theory & Algebra
Aug 19, 2016
by
LavTheRawkstar
258
views
1
vote
0
answers
5252
Logic
Consider the following logic program P A(x) <- B(x, y), C(y) <- B(x,x) Which of the following first order sentences is equivalent to P? option- A - (∀x)[(∃y)[B(x,y)∧C(y)]⇒A(x)]∧¬(∃X)[B(x,x)] B- (∀x)[(∀y)[B(x,y)∧C(y)]⇒A(x)]∧¬(∃X)[B(x,x)] C- (∀x)[(∃y)[B(x,y)∧C(y)]⇒A(x)]∨¬(∃X)[B(x,x)] D- (∀x)[(∀y)[B(x,y)∧C(y)]⇒A(x)]∧(∃X)[B(x,x)]
Sarvottam Patel
asked
in
Mathematical Logic
Aug 19, 2016
by
Sarvottam Patel
335
views
mathematical-logic
first-order-logic
5
votes
3
answers
5253
UGC NET CSE | June 2016 | Part 2 | Question: 25
In how many ways can the string $A \cap B - A \cap B -A$ be fully paranthesized to yield an infix expression? 15 14 13 12
go_editor
asked
in
Combinatory
Aug 16, 2016
by
go_editor
6.6k
views
ugcnetcse-june2016-paper2
parenthesization
combinatory
1
vote
0
answers
5254
#Narsingh_Deo Chapter-2 problem 2-29
Show that in a dancing ring of n children it is always possible to arrange the children so that everyone has a friend at each side if every child enjoys friendship with at least half the children.
Sarvottam Patel
asked
in
Graph Theory
Aug 15, 2016
by
Sarvottam Patel
576
views
graph-theory
3
votes
1
answer
5255
Narsingh Deo , Chapter 2, problem 2-18
If the intersection of two path is a disconnected graph, Show that the union of the two path has at least one circuit.
Sarvottam Patel
asked
in
Graph Theory
Aug 15, 2016
by
Sarvottam Patel
3.9k
views
graph-theory
2
votes
2
answers
5256
Graph
consider G is an undirected simple graph in which
Hira Thakur
asked
in
Graph Theory
Aug 14, 2016
by
Hira Thakur
427
views
graph-theory
graph-connectivity
4
votes
2
answers
5257
UGC NET CSE | June 2016 | Part 2 | Question: 1
How many difference equivalence relations with exactly three different equivalence classes are there on a set with five elements? 10 15 25 30
go_editor
asked
in
Set Theory & Algebra
Aug 14, 2016
by
go_editor
3.8k
views
ugcnetcse-june2016-paper2
discrete-mathematics
set-theory&algebra
2
votes
1
answer
5258
UGC NET CSE | December 2011 | Part 2 | Question: 15
McCabe’s cyclomatic metric $V(G)$ of a graph $G$ with $n$ vertices, $e$ edges and $p$ connected component is $e$ $n$ $e – n + p$ $e – n + 2p$
makhdoom ghaya
asked
in
Graph Theory
Aug 13, 2016
by
makhdoom ghaya
2.2k
views
ugcnetcse-dec2011-paper2
graph-theory
graph-connectivity
3
votes
1
answer
5259
UGC NET CSE | December 2011 | Part 2 | Question: 5
Maximum number of edges in a n -Node undirected graph without self loop is $n^{2}$ $n(n – 1)$ $n(n + 1)$ $\frac{n(n - 1)}{2}$
makhdoom ghaya
asked
in
Graph Theory
Aug 12, 2016
by
makhdoom ghaya
774
views
ugcnetcse-dec2011-paper2
graph-theory
graph-connectivity
2
votes
1
answer
5260
UGC NET CSE | December 2011 | Part 2 | Question: 4
Domain and Range of the function $Y= - \sqrt{-2x + 3}$ is $x \geq \frac{3}{2}, y \geq 0$ $x > \frac{3}{2}, y \leq 0$ $x \geq \frac{3}{2}, y \leq 0$ $x \leq \frac{3}{2}, y \leq 0$
makhdoom ghaya
asked
in
Discrete Mathematics
Aug 12, 2016
by
makhdoom ghaya
1.4k
views
ugcnetcse-dec2011-paper2
discrete-mathematics
functions
2
votes
2
answers
5261
Graph Theory
consider the following statement-: 1.If a graph has Euler circuit then it is Strongly Connected graph. 2.If a graph has Euler path(but not Euler circuit) then it is Strongly Connected graph. 3.If a graph has Euler circuit then it is Weakly Connected ... .If a graph has Euler path(but not euler circuit) then it is Weakly Connected graph. Which statement is true with proper explanation.
sourav.
asked
in
Graph Theory
Aug 12, 2016
by
sourav.
1.0k
views
graph-theory
graph-connectivity
3
votes
5
answers
5262
UGC NET CSE | December 2015 | Part 3 | Question: 44
In propositional logic, given $P$ and $P \rightarrow Q$, we can infer ________ $\sim Q$ $Q$ $P \wedge Q$ $\sim P \wedge Q$
go_editor
asked
in
Mathematical Logic
Aug 11, 2016
by
go_editor
3.3k
views
ugcnetcse-dec2015-paper3
propositional-logic
mathematical-logic
3
votes
2
answers
5263
Graph theory
complement of a complete bipartite graph Km,n .please provide a figure for explanation.
sourav.
asked
in
Graph Theory
Aug 10, 2016
by
sourav.
2.1k
views
graph-theory
graph-connectivity
2
votes
3
answers
5264
made easy
Please explain how perfect matching in given tree is 1? Why not 3 with edges ab,ce,df?
gaurav9822
asked
in
Graph Theory
Aug 10, 2016
by
gaurav9822
705
views
discrete-mathematics
graph-theory
graph-matching
2
votes
1
answer
5265
predicate
B(x):x is a boy C(x):x is a chocolates E(x,y): x eats y. "only boy eats chocolates". write this statement using predicate calculus.
Sanket_
asked
in
Mathematical Logic
Aug 10, 2016
by
Sanket_
476
views
3
votes
0
answers
5266
graph theory
For which values of m and n is Km,n regular?
sourav.
asked
in
Graph Theory
Aug 10, 2016
by
sourav.
1.9k
views
graph-theory
2
votes
3
answers
5267
Made easy
What is the chromatic number of following graphs? 1) 2)
gaurav9822
asked
in
Graph Theory
Aug 10, 2016
by
gaurav9822
798
views
graph-coloring
discrete
engineering-mathematics
2
votes
1
answer
5268
graph
Let n be a positive integer. Show that a subgraph induced by a nonempty subset of the vertex set of Kn is a complete graph.
sourav.
asked
in
Graph Theory
Aug 10, 2016
by
sourav.
1.1k
views
graph-theory
3
votes
2
answers
5269
Question on bipartite graph
The two distinct sets of vertices, which make the graph bipartite are: (A) (v1, v4, v6); (v2, v3, v5, v7, v8) (B) (v1, v7, v8); (v2, v3, v5, v6) (C) (v1, v4, v6, v7); (v2, v3, v5, v8) (D) (v1, v4, v6, v7, v8); (v2, v3, v5)
sh!va
asked
in
Graph Theory
Aug 9, 2016
by
sh!va
2.1k
views
graph-theory
bipartite-graph
3
votes
1
answer
5270
RELATIONS
Suppose that A is a nonempty set, and f is a function that has A as its domain. Let R be the relation on A consisting of all ordered pairs (x, y) such that f (x) = f (y). What are the equivalence classes of R?
sourav.
asked
in
Set Theory & Algebra
Aug 9, 2016
by
sourav.
934
views
set-theory&algebra
relations
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