algorithm - Communication complexity -



algorithm - Communication complexity -

i sending strings server , want calculate complexity.

for each string s sending prefices of s. hence start sending 1 character, 2 characters, 3 ... until sending |s| characters.

what communication complexity here? have said o(|s|²) not certain.

also in algorithm sending each character in s fix-sized amount of data, let's 100 characters. sending |s| * 100 characters. should in o(|s|) right? 1 worse? short s first algorithm better, or off here?

please, right me if wrong.

sending 1 character, 2 characters, 3 ... until sending |s| characters.

when send first character, remaining charcters (|s|-1) or starting 1 time again everytime |s|

for first possibility:

let's |s|=n

1+2+...+n=n(n-1)/2

the complexity in case is: o(|s|^2)

for sec possibility: 1+2+...+a=|s|

the complexity in case is: o(|s|)

linear-time complexity time better, check tutorial more info complexity time

algorithm complexity-theory time-complexity

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