Answers by Gokulnath / GATE Overflow for GATE CSE

8 votes

1

GATE CSE 2005 | Question: 50
Let $G(x) = \frac{1}{(1-x)^2} = \sum\limits_{i=0}^\infty g(i)x^i$, where $|x| < 1$. What is $g(i)$? $i$ $i+1$ $2i$ $2^i$

Let $G(x) = \frac{1}{(1-x)^2} = \sum\limits_{i=0}^\infty g(i)x^i$, where $|x| < 1$. What is $g(i)$?$i$$i+1$$2i$$2^i$

8.2k views

answered Jan 9, 2019

1 votes

2

Graph Theory Doubt
If there are exactly 2 vertices x and y of odd degree in a graph G, then there must be a path between x and y, Is this true? Please explain with valid reasons.

If there are exactly 2 vertices x and y of odd degree in a graph G, then there must be a path between x and y,Is this true? Please explain with valid reasons.

795 views

answered Dec 21, 2018

14 votes

3

TIFR CSE 2019 | Part B | Question: 3
A graph is $d$ – regular if every vertex has degree $d$. For a $d$ – regular graph on $n$ vertices, which of the following must be TRUE? $d$ divides $n$ Both $d$ and $n$ are even Both $d$ and $n$ are odd At least one of $d$ and $n$ is odd At least one of $d$ and $n$ is even

A graph is $d$ – regular if every vertex has degree $d$. For a $d$ – regular graph on $n$ vertices, which of the following must be TRUE?$d$ divides $n$Both $d$ and $n...

1.6k views

answered Dec 18, 2018

13 votes

4

TIFR CSE 2019 | Part A | Question: 7
What are the last two digits of $1! + 2! + \dots +100!$? $00$ $13$ $30$ $33$ $73$

What are the last two digits of $1! + 2! + \dots +100!$?$00$$13$$30$$33$$73$

1.4k views

answered Dec 18, 2018

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