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Recent questions in Discrete Mathematics
4
votes
1
answer
5341
UGC NET CSE | June 2016 | Part 3 | Question: 31
The number of different binary trees with 6 nodes is 6 42 132 256
The number of different binary trees with 6 nodes is642132256
go_editor
7.2k
views
go_editor
asked
Aug 20, 2016
Combinatory
ugcnetcse-june2016-paper3
combinatory
binary-tree
+
–
2
votes
1
answer
5342
UGC NET CSE | December 2011 | Part 2 | Question: 34
Negative numbers cannot be represented in Signed magnitude form $1’s$ complement form $2’s$ complement form None of the above
Negative numbers cannot be represented inSigned magnitude form$1’s$ complement form$2’s$ complement formNone of the above
makhdoom ghaya
2.8k
views
makhdoom ghaya
asked
Aug 19, 2016
Discrete Mathematics
ugcnetcse-dec2011-paper2
discrete-mathematics
number-representation
+
–
1
votes
2
answers
5343
Propositional Logic | Self doubt
Please give one example of each following logic in english sentence - 1. ($\forall$xP(x) -> $\exists$xQ(x)) == $\exists$x(P(x) -> Q(x)) 2. ($\exists$xP(x) -> $\forall$xQ(x)) -> $\forall$x(P(x) -> Q(x)) 3. $\forall$x(P(x) -> R) -> ($\exists$xP(x) -> R)
Please give one example of each following logic in english sentence -1. ($\forall$xP(x) - $\exists$xQ(x)) == $\exists$x(P(x) - Q(x))2. ($\exists$xP(x) - $\forall$xQ(x)) ...
vijaycs
1.4k
views
vijaycs
asked
Aug 19, 2016
Mathematical Logic
mathematical-logic
first-order-logic
+
–
3
votes
2
answers
5344
Gatebook
Let A has n vertices. If Ā is connected graph then the maximum number of edges that A can have is a) (n-1)(n-2)/2 b) n(n-1)/2 c) n-1 d) n
Let A has n vertices. If Ā is connected graph then the maximum number of edges that A can have isa) (n-1)(n-2)/2b) n(n-1)/2c) n-1d) n
Sarvottam Patel
680
views
Sarvottam Patel
asked
Aug 19, 2016
Mathematical Logic
graph-connectivity
+
–
2
votes
0
answers
5345
Discrete Mathematics Imp
In the set of all integers a relation is defined by: a $\equiv$ b(mod m) i.e. m divides a-b Show that:The relation is an Equivalance Relation.
In the set of all integers a relation is defined by:a $\equiv$ b(mod m)i.e. m divides a-bShow that:The relation is an Equivalance Relation.
LavTheRawkstar
274
views
LavTheRawkstar
asked
Aug 19, 2016
1
votes
1
answer
5346
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 :
If A,B,C are 3 sets and R is a subset of A x Bi.e R ⊆ A x BS ⊆ B x CThen Prove that :
LavTheRawkstar
258
views
LavTheRawkstar
asked
Aug 19, 2016
1
votes
0
answers
5347
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)]
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...
Sarvottam Patel
341
views
Sarvottam Patel
asked
Aug 19, 2016
Mathematical Logic
mathematical-logic
first-order-logic
+
–
5
votes
3
answers
5348
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
In how many ways can the string $A \cap B - A \cap B -A$ be fully paranthesized to yield an infix expression?15141312
go_editor
6.8k
views
go_editor
asked
Aug 16, 2016
Combinatory
ugcnetcse-june2016-paper2
parenthesization
combinatory
+
–
1
votes
0
answers
5349
#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.
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 a...
Sarvottam Patel
589
views
Sarvottam Patel
asked
Aug 15, 2016
Graph Theory
graph-theory
+
–
3
votes
1
answer
5350
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.
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
4.0k
views
Sarvottam Patel
asked
Aug 15, 2016
Graph Theory
graph-theory
+
–
2
votes
2
answers
5351
Graph
consider G is an undirected simple graph in which
consider G is an undirected simple graph in which
Hira Thakur
432
views
Hira Thakur
asked
Aug 14, 2016
Graph Theory
graph-theory
graph-connectivity
+
–
4
votes
2
answers
5352
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
How many difference equivalence relations with exactly three different equivalence classes are there on a set with five elements?10152530
go_editor
3.9k
views
go_editor
asked
Aug 14, 2016
Set Theory & Algebra
ugcnetcse-june2016-paper2
discrete-mathematics
set-theory&algebra
+
–
2
votes
1
answer
5353
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 $e$ $n$ $e – n + p$ $e – n + 2p$
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
2.3k
views
makhdoom ghaya
asked
Aug 13, 2016
Graph Theory
ugcnetcse-dec2011-paper2
graph-theory
graph-connectivity
+
–
3
votes
1
answer
5354
UGC NET CSE | December 2011 | Part 2 | Question: 5
Maximum number of edges in a n -Node undirected graph without self loop is $n^{2}$ $n(n – 1)$ $n(n + 1)$ $\frac{n(n - 1)}{2}$
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
803
views
makhdoom ghaya
asked
Aug 12, 2016
Graph Theory
ugcnetcse-dec2011-paper2
graph-theory
graph-connectivity
+
–
2
votes
1
answer
5355
UGC NET CSE | December 2011 | Part 2 | Question: 4
Domain and Range of the function $Y= - \sqrt{-2x + 3}$ is $x \geq \frac{3}{2}, y \geq 0$ $x > \frac{3}{2}, y \leq 0$ $x \geq \frac{3}{2}, y \leq 0$ $x \leq \frac{3}{2}, y \leq 0$
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 \le...
makhdoom ghaya
1.5k
views
makhdoom ghaya
asked
Aug 12, 2016
Discrete Mathematics
ugcnetcse-dec2011-paper2
discrete-mathematics
functions
+
–
2
votes
2
answers
5356
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.
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 Strongl...
sourav.
1.1k
views
sourav.
asked
Aug 12, 2016
Graph Theory
graph-theory
graph-connectivity
+
–
3
votes
5
answers
5357
UGC NET CSE | December 2015 | Part 3 | Question: 44
In propositional logic, given $P$ and $P \rightarrow Q$, we can infer ________ $\sim Q$ $Q$ $P \wedge Q$ $\sim P \wedge Q$
In propositional logic, given $P$ and $P \rightarrow Q$, we can infer ________$\sim Q$$Q$$P \wedge Q$$\sim P \wedge Q$
go_editor
3.5k
views
go_editor
asked
Aug 11, 2016
Mathematical Logic
ugcnetcse-dec2015-paper3
propositional-logic
mathematical-logic
+
–
3
votes
2
answers
5358
Graph theory
complement of a complete bipartite graph Km,n .please provide a figure for explanation.
complement of a complete bipartite graph Km,n .please provide a figure for explanation.
sourav.
2.2k
views
sourav.
asked
Aug 10, 2016
Graph Theory
graph-theory
graph-connectivity
+
–
2
votes
3
answers
5359
made easy
Please explain how perfect matching in given tree is 1? Why not 3 with edges ab,ce,df?
Please explain how perfect matching in given tree is 1?Why not 3 with edges ab,ce,df?
gaurav9822
754
views
gaurav9822
asked
Aug 10, 2016
Graph Theory
discrete-mathematics
graph-theory
graph-matching
+
–
2
votes
1
answer
5360
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.
B(x):x is a boyC(x):x is a chocolatesE(x,y): x eats y."only boy eats chocolates". write this statement using predicate calculus.
Sanket_
490
views
Sanket_
asked
Aug 10, 2016
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