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Most viewed questions in Discrete Mathematics
6
votes
3
answers
2311
CMI2018-A-4
Let $G=(V, E)$ be an undirected simple graph, and $s$ be a designated vertex in $G.$ For each $v\in V,$ let $d(v)$ be the length of a shortest path between $s$ and $v.$ For an edge $(u,v)$ in $G,$ what can not be the value of $d(u)-d(v)?$ $2$ $-1$ $0$ $1$
Let $G=(V, E)$ be an undirected simple graph, and $s$ be a designated vertex in $G.$ For each $v\in V,$ let $d(v)$ be the length of a shortest path between $s$ and $v.$ ...
gatecse
784
views
gatecse
asked
Sep 13, 2019
Graph Theory
cmi2018
graph-theory
shortest-path
+
–
1
votes
2
answers
2312
NIELIT 2016 MAR Scientist C - Section C: 25
Which of the following is FALSE? $Read\ \wedge as\ AND, \vee\ as\ OR, \sim as\ NOT, \rightarrow$ as one way implication and $\leftrightarrow$ as two way implication? $((x\rightarrow y)\wedge x)\rightarrow y$ $((\sim x\rightarrow y)\wedge (\sim x\wedge \sim y))\rightarrow x$ $(x\rightarrow (x\vee y))$ $((x\vee y)\leftrightarrow (\sim x\vee \sim y))$
Which of the following is FALSE?$Read\ \wedge as\ AND, \vee\ as\ OR, \sim as\ NOT, \rightarrow$ as one way implication and $\leftrightarrow$ as two way implication?$((x\r...
admin
783
views
admin
asked
Apr 2, 2020
Mathematical Logic
nielit2016mar-scientistc
discrete-mathematics
mathematical-logic
+
–
0
votes
1
answer
2313
IIT Kanpur Sample Test Paper
Given an undirected graph with vertices as your friends and edges between people who do not talk to each other. Your task is to invite as many guests to your party such that there are no two friends at the party who have problem talking to each ... instance of: A. Maximum vertex cover. B. Maximum cut. C. Maximum eigenvalue of adjacency matrix. D. None of the above.
Given an undirected graph with vertices as your friends and edges between people who do not talk to each other. Your task is to invite as many guests to your party su...
Churchill Khangar
783
views
Churchill Khangar
asked
Apr 17, 2018
Graph Theory
iit-kanpur
written-test
+
–
1
votes
3
answers
2314
Set theory doubt
Say if A is proper subset of B i.e A⊂B then is it true - that B⊆A (B is subset of A)? Also one more thing - if A⊂B then AUB = A where U means UNION
Say if A is proper subset of B i.e A⊂B then is it true - that B⊆A (B is subset of A)?Also one more thing - if A⊂B then AUB = A where U means UNION
iarnav
783
views
iarnav
asked
Sep 5, 2017
Set Theory & Algebra
discrete-mathematics
set-theory&algebra
set-theory
+
–
1
votes
1
answer
2315
Recurrence Relation
The solution of an = 2an-1 + 1 where a0 = 1 is ? Please use the substitution method because I seem to have problem understanding it.
The solution of an = 2an-1 + 1 where a0 = 1 is ? Please use the substitution method because I seem to have problem understanding it.
thehobo03
783
views
thehobo03
asked
Jun 24, 2017
0
votes
1
answer
2316
Discrete Mathematics | Propositional Logic | Test 2 | Question: 5
A compound proposition is $\textit{satisfiable}$ if there is an assignment of truth values to its variables that makes it true. When no such assignments exists, that is, when the compound proposition is false for all assignments of ... but not valid. Hence, it is a contingency where $P,Q$ and $R$ are distinct atomic propositions.
A compound proposition is $\textit{satisfiable}$ if there is an assignment of truth values to its variables that makes it true. When no such assignments exists, that is, ...
ankitgupta.1729
782
views
ankitgupta.1729
asked
Apr 15, 2023
Mathematical Logic
testsbyankitg-dm-2
mathematical-logic
propositional-logic
multiple-selects
1-mark
+
–
1
votes
2
answers
2317
[Discrete Maths] Predicate Logic):-
A(x) :- Apple on the table. Give predicate logic that there is at most one apple on the table. 1. ∃x∃y(A(x) ^ A(y) ) ->x=y 2.∀x∀y(A(x) ^ A(y) ) ->x=y I know first one is correct,but why second one is not ... in the universe are apples on the table ,then they must be same.It also follows same thing. So are both versions correct?Or i am mistaking somehwere?
A(x) :- Apple on the table.Give predicate logic that there is at most one apple on the table.1. ∃x∃y(A(x) ^ A(y) ) ->x=y2.∀x∀y(A(x) ^ A(y) ) ->x=yI know first one...
rahul sharma 5
782
views
rahul sharma 5
asked
Jun 2, 2017
Mathematical Logic
mathematical-logic
first-order-logic
propositional-logic
discrete-mathematics
+
–
0
votes
1
answer
2318
set theory
which of following statements are true: 1.union of countable set is countable 2.every subset of countable set is countable. 3.countable union of countable set is countable. 4 set of rational number is countable. 5. set of real number is countable 6.set of all ordered pair of non negative integer is countable. 7 product of N*N is contable
which of following statements are true:1.union of countable set is countable2.every subset of countable set is countable.3.countable union of countable set is countable.4...
Hira Thakur
782
views
Hira Thakur
asked
Nov 26, 2016
2
votes
1
answer
2319
Set Theory and Algebra: Which of the following is NOT true?
Let s(w) denote the set of all the letters in w where w is an English word. Let us denote set equality, subset and union relations by =, ⊂ and ⋃ respectively. Which of the following is NOT true? (a) s(ten) ⊂ s( ... ) (c) s(sixty) ⊂ (s(six) ⋃ s(twenty) (d) None of these Answer Given is (d) how?
Let s(w) denote the set of all the letters in w where w is an English word. Let us denote set equality, subset and union relations by =, ⊂ and ⋃ respectively. W...
Prasanna
782
views
Prasanna
asked
Nov 27, 2015
Set Theory & Algebra
set-theory&algebra
+
–
0
votes
1
answer
2320
A question paper is divided into two parts A and B and each part contains 5 questions. In how many ways a student can answer the question paper, if he has to solve total 6 questions including atleast 2 from each section.
I solved the question using the logic first select two questions from each sections. ($\binom{5}{2} * \binom{5}{2}$). Then from remaining 6 questions choose any 2. theref...
AKS1236
781
views
AKS1236
asked
May 18, 2022
Combinatory
combinatory
discrete-mathematics
+
–
2
votes
1
answer
2321
Function One to one / onto
which one is correct?
which one is correct?
monty
781
views
monty
asked
Nov 19, 2016
0
votes
2
answers
2322
Proposition Logic
aditi19
780
views
aditi19
asked
Aug 9, 2018
Mathematical Logic
mathematical-logic
propositional-logic
discrete-mathematics
+
–
1
votes
0
answers
2323
doubt
Is a null matrix also a diagonal matrix? i read somewhere atleast one element in diagonal should be non zero to be a diagonal matrix //provided null matrix will be square and can a null square matrix be a scalar matrix ?
Is a null matrix also a diagonal matrix? i read somewhere atleast one element in diagonal should be non zero to be a diagonal matrix //provided null matrix will be squar...
sumit goyal 1
779
views
sumit goyal 1
asked
Sep 3, 2017
1
votes
3
answers
2324
One to one function
Following is the way of checking the one to one function or Can i use bi implication in between these?If not,then why?
Following is the way of checking the one to one functionorCan i use bi implication in between these?If not,then why?
rahul sharma 5
779
views
rahul sharma 5
asked
Jul 27, 2017
Mathematical Logic
functions
+
–
0
votes
0
answers
2325
ME TEST SERIES
plz explain the definition of empty set!
plz explain the definition of empty set!
himgta
778
views
himgta
asked
Nov 27, 2018
1
votes
1
answer
2326
Composite function
Given $A=\left \{1,2,3 \right \}$ and a relation $'R'$ on a set $'A'$ $ R = \left \{(1,2),(2,3),(3,1) \right \}$ $R^{2} = RoR;$ where $o$ is composition operation Find $R^{25}=?$ $A) \left\{(1,3),(2,1),(3,3) \right \}$ $B)\left\{(1,1),(2,2),(3,3) \right \}$ $C)\left\{(1,2),(2,3),(3,1) \right \}$ $D)$ None of these
Given $A=\left \{1,2,3 \right \}$ and a relation $'R'$ on a set $'A'$$ R = \left \{(1,2),(2,3),(3,1) \right \}$$R^{2} = RoR;$ where $o$ is composition operationFind $R^{2...
Lakshman Bhaiya
778
views
Lakshman Bhaiya
asked
Oct 7, 2018
Set Theory & Algebra
discrete-mathematics
set-theory&algebra
+
–
0
votes
2
answers
2327
Kenneth Rosen Edition 6th Exercise 5.2 Example 9 (Page No. 350)
Suppose that a computer science laboratory has $15$ workstations and $10$ servers. A cable can be used to directly connect a workstation to a server. For each server, only one direct connection to that server ... of direct connections needed to achieve this goal? Please Explain in this question how pigeonhole principle is applied .
Suppose that a computer science laboratory has $15$ workstations and $10$ servers. A cable can be used to directly connect a workstation to a server. For each server, onl...
Abhinavg
778
views
Abhinavg
asked
Mar 6, 2018
Combinatory
kenneth-rosen
discrete-mathematics
counting
pigeonhole-principle
+
–
0
votes
1
answer
2328
ME test
Which of the following is correct? A) Every Distributive Lattice is Complimented Lattice B) Every Complimented Lattice is Distributive Lattice C) Every Distributive Lattice is Bounded Lattice D) None of these
Which of the following is correct?A) Every Distributive Lattice is Complimented LatticeB) Every Complimented Lattice is Distributive LatticeC) Every Distributive Lattice ...
Jithin Jayan
778
views
Jithin Jayan
asked
Jan 31, 2017
5
votes
1
answer
2329
TIFR CSE 2016 | Part A | Question: 7
Let $S$ be the $4 \times 4$ square grid $\{(x, y): x, y \in \{0, 1, 2, 3\} \}$. A $monotone \: \: path$ in this grid starts at $(0, 0)$ and at each step either moves one unit up or one unit right. For example, from the point $(x, y)$ one ... many distinct monotone paths are there to reach point $(3, 3)$ starting from $(0, 0)$? $2z+6$ $3z+6$ $2z+8$ $3z+8$ $3z+4$
Let $S$ be the $4 \times 4$ square grid $\{(x, y): x, y \in \{0, 1, 2, 3\} \}$. A $monotone \: \: path$ in this grid starts at $(0, 0)$ and at each step either moves one ...
go_editor
778
views
go_editor
asked
Dec 27, 2016
Combinatory
tifr2016
combinatory
counting
+
–
3
votes
1
answer
2330
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
778
views
makhdoom ghaya
asked
Aug 12, 2016
Graph Theory
ugcnetcse-dec2011-paper2
graph-theory
graph-connectivity
+
–
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