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Recent questions tagged graph-connectivity
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1
GO Classes Test Series 2024 | Mock GATE | Test 14 | Question: 57
A strongly connected component $(\mathrm{SCC})$ of a directed graph $\mathrm{G}=(\mathrm{V}, \mathrm{E})$ ... ; edges in its associated directed acyclic graph $G^{\prime}$ be $A, B$ respectively, then what is $A+B?$
GO Classes
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Graph Theory
Feb 5
by
GO Classes
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goclasses2024-mockgate-14
numerical-answers
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graph-connectivity
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0
votes
1
answer
2
A tree has 2n vertices of degree 1, 3n vertices of degree 2 and n vertices of degree 3. Determine the number of vertices and edges in the tree.
SURAJ7201
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Graph Theory
Dec 29, 2023
by
SURAJ7201
212
views
graph-connectivity
1
vote
0
answers
3
Made Easy: Counting number of subgraphs of the given graph. How should I approach this question?
tishhaagrawal
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in
Graph Theory
Dec 16, 2023
by
tishhaagrawal
482
views
gate-preparation
test-series
made-easy-test-series
self-doubt
counting
graph-theory
discrete-mathematics
graph-connectivity
0
votes
2
answers
4
SCIENTIST B CPCB 2023 CSE
Consider a graph with n vertices that is a collection of k disjoint trees, where 𝑛 > 𝑘 > 1 . How many edges does this graph have? (A) n-1 (B) k (n-1) (C) n-k (D) n-k-1
Jai Singh
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in
CO and Architecture
Jun 27, 2023
by
Jai Singh
432
views
algorithms
graph-theory
graph-algorithm
graph-connectivity
6
votes
2
answers
5
GO Classes 2023 | IIITH Mock Test 1 | Question: 3
Let $\text{G}$ be a graph on $10$ vertices. We delete one vertex from $\text{G}.$ Since we have $10$ vertices, hence we get $10$ different subgraphs depending on which vertex we have deleted. Suppose that the number of edges in the vertex-deleted subgraphs of ... $\text{G}?$ $14$ $16$ $13$ $15$
GO Classes
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in
Graph Theory
Mar 26, 2023
by
GO Classes
746
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goclasses2023-iiith-mock-1
goclasses
graph-theory
graph-connectivity
1-mark
1
vote
0
answers
6
DRDO CSE 2022 Paper 1 | Question: 11
Consider the following graph. Find closeness centrality of $\text{‘A’}$ node.
admin
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in
Graph Theory
Dec 15, 2022
by
admin
258
views
drdocse-2022-paper1
graph-theory
graph-connectivity
5-marks
descriptive
1
vote
0
answers
7
DRDO CSE 2022 Paper 1 | Question: 13
Consider the following graph. Which nodes form the cliques of size $3?$
admin
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in
Graph Theory
Dec 15, 2022
by
admin
266
views
drdocse-2022-paper1
graph-theory
graph-connectivity
5-marks
descriptive
1
vote
0
answers
8
TIFR CSE 2022 | Part B | Question: 10
Consider the assertions $\text{(A1)}$ Given a directed graph $G$ with positive weights on the edges, two special vertices $s$ and $t$, and an integer $k$ - it is $\text{NP}$-complete to determine if $G$ has an $s- t$ path of length at most $k$ ... $\text{A1}$ does not imply $\text{A2}$ and $\text{A2}$ does not imply $\text{A1}$ None of the above.
admin
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in
Algorithms
Sep 1, 2022
by
admin
348
views
tifr2022
algorithms
graph-connectivity
p-np-npc-nph
1
vote
1
answer
9
TIFR CSE 2022 | Part B | Question: 14
Let $G$ be a directed graph (with no self-loops or parallel edges) with $n \geq 2$ vertices and $m$ edges. Consider the $n \times m$ incidence matrix $M$ of $G$, whose rows are indexed by the vertices of $G$ and the columns by the edges of $G$ ... . Then, what is the rank of $M?$ $m-1$ $m-n+1$ $\lceil m / 2\rceil$ $n-1$ $\lceil n / 2\rceil$
admin
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in
Graph Theory
Sep 1, 2022
by
admin
426
views
tifr2022
graph-theory
graph-connectivity
rank-of-matrix
0
votes
0
answers
10
Best Open Video Playlist for Graph Theory: Connectivity Topic | Discrete Mathematics
Please list out the best free available video playlist for Graph Theory: Connectivity Topic from Discrete Mathematics as an answer here (only one playlist per answer). We'll then select the best playlist and add to ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 15, 2022
by
makhdoom ghaya
199
views
missing-videos
free-videos
video-links
go-classroom
graph-theory
graph-connectivity
4
votes
1
answer
11
GO Classes Scholarship 2023 | Test | Question: 8
In a directed graph $\mathrm{G}=(\mathrm{V}, \mathrm{E})$, two nodes $u$ and $v$ are strongly connected if and only if they are mutually reachable i.e. there is a path from u to $v$ and a path from $v$ to $u$. ... connected components $\dots?$ can not increase can not decrease by more than $1$ can not decrease by more than $2$ may remain unchanged
GO Classes
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in
Graph Theory
Aug 7, 2022
by
GO Classes
954
views
goclasses-scholarship-test1
goclasses
graph-theory
graph-connectivity
multiple-selects
1-mark
5
votes
2
answers
12
GO Classes Scholarship 2023 | Test | Question: 9
Consider the following graph $\text{G:}$ Let $\text{M, C, I, S, B, E}$ be the Matching number, chromatic number, independence number, Clique number, Vertex cover number, and edge cover number, respectively of $\text{G}.$ What is $\text{M+C+I+S+B+E}?$
GO Classes
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in
Graph Theory
Aug 7, 2022
by
GO Classes
679
views
goclasses-scholarship-test1
numerical-answers
goclasses
graph-theory
graph-connectivity
vertex-cover
2-marks
3
votes
1
answer
13
GO Classes Scholarship 2023 | Test | Question: 10
For which of the following does there exist a graph satisfying the specified conditions? A tree with six vertices and six edges. A tree with three or more vertices, two vertices of degree one, and all the other vertices with degree three or ... with $10$ vertices and $8$ edges. A disconnected graph with $12$ vertices and $11$ edges and no cycle.
GO Classes
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in
Graph Theory
Aug 7, 2022
by
GO Classes
501
views
goclasses-scholarship-test1
goclasses
graph-theory
graph-connectivity
multiple-selects
2-marks
0
votes
2
answers
14
MadeEasy Test Series
There are 15 vertices and 15 edges in some graph. Now, these edges are arranged in such a way that maximum number of connected components are created in the graph. Find the connected components created. (A) 8 (B) 9 (C) 10 (D) 11 Please explain your answer.
anupamsworld
asked
in
DS
Jul 8, 2022
by
anupamsworld
860
views
made-easy-test-series
data-structures
graph-theory
graph-connectivity
0
votes
1
answer
15
Doubt:
Let “m” be the number of edges, “n” the number of vertices and “k” the number of connected components of a graph G. Prove that: $\left ( n-k \right )\leq m\leq \frac{\left ( n-k \right )\left ( n-k+1 \right )}{2}$ Why least number of edges are $\left ( n-k \right )$ and Why most number of edges are $\frac{\left ( n-k \right )\left ( n-k+1 \right )}{2}$ ? What is the idea behind this prove?
RKM
asked
in
Graph Theory
Jun 28, 2022
by
RKM
592
views
graph-connectivity
0
votes
0
answers
16
Introduction to Graph Theory Exercises
This is the problem snapshot
AngshukN
asked
in
Graph Theory
May 22, 2022
by
AngshukN
372
views
graph-theory
graph-connectivity
discrete-mathematics
4
votes
1
answer
17
GO Classes Test Series 2024 | Discrete Mathematics | Test 5 | Question: 4
The number of simple undirected graphs with $6$ labeled vertices and exactly $3$ edges is _________
GO Classes
asked
in
Graph Theory
May 11, 2022
by
GO Classes
506
views
goclasses2024-dm-5-weekly-quiz
numerical-answers
goclasses
graph-theory
graph-connectivity
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