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The Asymptotic Mandelbrot Law of Some Evolution Networks

๋ณธ ๋…ผ๋ฌธ์€ ๋ณต์žกํ•œ ๋„คํŠธ์›Œํฌ์—์„œ ๊ด€์ฐฐ๋˜๋Š” ๋งŒ๋ธ๋ธŒ๋กœํŠธ ๋ฒ•์น™์— ๋Œ€ํ•œ ์—„๋ฐ€ํ•œ ์ˆ˜ํ•™์  ์ฆ๋ช…์„ ์ œ๊ณตํ•˜๋ฉฐ, ์ด๋ฅผ ํ†ตํ•ด ์„ ํ˜• ์„ ํ˜ธ ๋ถ€์ฐฉ ๋ชจ๋ธ์ด ์–ด๋–ป๊ฒŒ ์ด๋Ÿฌํ•œ ํŠน์„ฑ์„ ์ƒ์„ฑํ•˜๋Š”์ง€ ๊นŠ๊ฒŒ ๋ถ„์„ํ•œ๋‹ค. ๋…ผ๋ฌธ์€ ์ฃผ์š” ์„ธ ๊ฐ€์ง€ ๊ทผ์‚ฌ๋ฒ•์„ ์‚ฌ์šฉํ•˜์—ฌ ์ฐจ์ˆ˜ ๋ถ„ํฌ์˜ ๊ทนํ•œ ํ˜•ํƒœ๋ฅผ ์œ ๋„ํ•˜๊ณ , ๊ฐ ๋ฐฉ๋ฒ•์˜ ๊ฒฐ๊ณผ๋ฅผ ๋น„๊ตํ•œ๋‹ค. 1. ์—ฐ๊ตฌ ๋ฐฐ๊ฒฝ ๋ฐ ์ค‘์š”์„ฑ ๋ณต์žก ๋„คํŠธ์›Œํฌ๋Š” ๋‹ค์–‘ํ•œ ํ•™๋ฌธ ๋ถ„์•ผ์—์„œ ์ค‘์š”ํ•œ ๊ด€์‹ฌ ๋Œ€์ƒ์ด๋‹ค. ํŠนํžˆ, ์ด๋Ÿฌํ•œ ๋„คํŠธ์›Œํฌ์˜ ๊ทœ๋ชจ ์ž์œ  ํŠน์„ฑ์€ ๊ทธ ๋ณดํŽธ์„ฑ๊ณผ ์ค‘์š”์„ฑ์„ ๊ฐ•์กฐํ•˜๋ฉฐ, ์ด๋Š” ๋„คํŠธ์›Œํฌ ๋‚ด ๋…ธ๋“œ๋“ค์˜ ์ฐจ์ˆ˜ ๋ถ„ํฌ๊ฐ€ ์ „๋ ฅ๋ฒ•์น™์— ๋”ฐ๋ผ ๊ฒฐ์ •๋œ๋‹ค๋Š” ๊ฒƒ์„ ์˜๋ฏธํ•œ๋‹ค. ๋ฐ”๋ฐ”๋ผ์‹œ์™€

Computer Science Physics Social Networks Network
Sipping Science in a Cafe

Sipping Science in a Cafe

๋ณธ ๋…ผ๋ฌธ์€ ๊ณผํ•™ ์นดํŽ˜์˜ ๊ฐœ๋…์„ ์†Œ๊ฐœํ•˜๋ฉด์„œ, ์ดํƒˆ๋ฆฌ์•„ ํ”Œ๋กœ๋ Œ์Šค์—์„œ ์‹œ์ž‘๋œ '์นดํŽ˜ ๊ณผํ•™' ํ”„๋กœ์ ํŠธ์™€ ์œ ๋Ÿฝ ์ฐจ์›์˜ SciCafรฉ ๋„คํŠธ์›Œํฌ ๊ตฌ์ถ•์— ๋Œ€ํ•œ ์‹ฌ๋„ ์žˆ๋Š” ๋ถ„์„์„ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค. ๊ณผํ•™ ์นดํŽ˜๋Š” ์ „ํ†ต์ ์ธ ํ•™์ˆ  ํšŒ์˜๋‚˜ ๊ฐ•์—ฐ๊ณผ ๋‹ฌ๋ฆฌ, ์ฐธ๊ฐ€์ž๋“ค์ด ํŽธ์•ˆํ•œ ํ™˜๊ฒฝ์—์„œ ๊ณผํ•™์ž๋“ค๊ณผ ํ‰๋“ฑํ•˜๊ฒŒ ๋Œ€ํ™”ํ•˜๊ณ  ์งˆ๋ฌธํ•  ์ˆ˜ ์žˆ๋Š” ๊ณต๊ฐ„์œผ๋กœ, ์ด๋Š” ๊ณผํ•™ ์ปค๋ฎค๋‹ˆ์ผ€์ด์…˜์„ ํƒˆ์‹ ๋น„ํ™”ํ•˜๋Š” ๋ฐ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•ฉ๋‹ˆ๋‹ค. ๋…ผ๋ฌธ์€ ๊ณผํ•™ ์นดํŽ˜์˜ ๋‹ค์–‘ํ•œ ํ˜•ํƒœ์™€ ํ™œ๋™์„ ์†Œ๊ฐœํ•ฉ๋‹ˆ๋‹ค. '์นดํŽ˜๋ Œ์ฆˆ'๋Š” ๊ณผํ•™ ์นดํŽ˜์™€ ํšŒ์˜๋ฅผ ๊ฒฐํ•ฉํ•œ ์ƒˆ๋กœ์šด ํ˜•์‹์œผ๋กœ, ์•„๋ฆ„๋‹ค์šด ๋„์„œ๊ด€์—์„œ ๊ฐœ์ตœ๋˜์–ด ํฐ ์„ฑ๊ณต์„ ๊ฑฐ๋‘์—ˆ์Šต๋‹ˆ๋‹ค.

Physics
Viva the h-index

Viva the h-index

: ์ด ๋…ผ๋ฌธ์€ h ์ธ๋ฑ์Šค๋ฅผ ๋ถ„์„ํ•˜๊ณ , ์ด๋ฅผ ํ†ตํ•ด ๊ณผํ•™์ž์˜ ์ƒ์‚ฐ๋Ÿ‰(p)๊ณผ ํ’ˆ์งˆ(q) ๊ฐ„์˜ ๊ด€๊ณ„๋ฅผ ํƒ์ƒ‰ํ•˜๋Š” ๋ฐ ์ดˆ์ ์„ ๋งž์ถ”๊ณ  ์žˆ๋‹ค. ์ €์ž๋Š” h ์ธ๋ฑ์Šค๊ฐ€ ๊ฒฐ๊ตญ ํ’ˆ์งˆ์— ์˜ํ•ด ๊ฒฐ์ •๋œ๋‹ค๋Š” 'h ์ธ๋ฑ์Šค ๋ฒ•์น™'์„ ์ œ์‹œํ•˜๋ฉฐ, ์ด๋Š” ์ดˆ๊ธฐ์—๋Š” ์ƒ์‚ฐ๋Ÿ‰์ด h ์ธ๋ฑ์Šค๋ฅผ ์ฃผ๋„ํ•˜์ง€๋งŒ ์‹œ๊ฐ„์ด ์ง€๋‚˜๋ฉด์„œ ํ’ˆ์งˆ์ด ๊ทธ ์œ„์น˜๋ฅผ ์ฐจ์ง€ํ•œ๋‹ค๋Š” ๋‚ด์šฉ์ด๋‹ค. ์ด๋Ÿฌํ•œ ๊ด€์ ์€ ๊ณผํ•™์ž๋“ค์˜ ์„ฑ๊ณผ ํ‰๊ฐ€์— ์žˆ์–ด ๋‹จ์ˆœํ•œ ์ถœํŒ๋ฌผ ์ˆ˜๋ณด๋‹ค๋Š” ์—ฐ๊ตฌ์˜ ์งˆ์  ์ธก๋ฉด์„ ๋” ์ค‘์š”ํ•˜๊ฒŒ ์—ฌ๊ฒจ์•ผ ํ•จ์„ ์‹œ์‚ฌํ•œ๋‹ค. ๋…ผ๋ฌธ์—์„œ ์ œ์‹œ๋œ h ์ธ๋ฑ์Šค ๋ฒ•์น™์€ ๋‹ค์Œ๊ณผ ๊ฐ™์€ ๋‘ ๊ฐ€์ง€ ์ฃผ์š” ์ƒํ™ฉ์„ ๊ณ ๋ คํ•œ๋‹ค. ์ฒซ์งธ, ์ €์ž์˜ ์ƒ์‚ฐ๋Ÿ‰์ด ๊ทธ

Physics Digital Libraries Computer Science
A Well-Behaved Alternative to the Modularity Index

A Well-Behaved Alternative to the Modularity Index

์ด ๋…ผ๋ฌธ์€ ๋„คํŠธ์›Œํฌ ํด๋Ÿฌ์Šคํ„ฐ๋ง ์•Œ๊ณ ๋ฆฌ์ฆ˜์—์„œ ์‚ฌ์šฉ๋˜๋Š” ๋ชจ๋“ˆ๋Ÿฌํ‹ฐ ์ง€์ˆ˜ Q์— ๋Œ€ํ•œ ํ•œ๊ณ„์™€ Borgatti์˜ ฮท ์ง€ํ‘œ๋ฅผ ์†Œ๊ฐœํ•˜๊ณ , ์ด๋ฅผ ํ†ตํ•ด ๋” ์ •ํ™•ํ•œ ๋ถ„ํ•  ํ‰๊ฐ€ ๋ฐฉ๋ฒ•์„ ์ œ์‹œํ•œ๋‹ค. 1. ๋ชจ๋“ˆ๋Ÿฌํ‹ฐ ์ง€์ˆ˜ Q์˜ ๋ฌธ์ œ์  Q๋Š” ๋„คํŠธ์›Œํฌ ๋ฐ์ดํ„ฐ์—์„œ ํด๋Ÿฌ์Šคํ„ฐ๋ง ์„ฑ๋Šฅ์„ ์ธก์ •ํ•˜๋Š” ๋ฐ ์ฃผ๋กœ ์‚ฌ์šฉ๋˜์ง€๋งŒ, ์—ฌ๋Ÿฌ ๊ฐ€์ง€ ํ•œ๊ณ„๋ฅผ ๊ฐ€์ง€๊ณ  ์žˆ๋‹ค. ์ฒซ์งธ, Q๋Š” ์™ธ๋ถ€ ๊ฐ„์„ ์˜ ์ฆ๊ฐ€์— ๋”ฐ๋ผ ๊ฐ์†Œํ•˜๊ณ  ๋‚ด๋ถ€ ๊ฐ„์„ ์˜ ์ฆ๊ฐ€์— ๋”ฐ๋ผ ์ฆ๊ฐ€ํ•ด์•ผ ํ•˜์ง€๋งŒ, ์‹ค์ œ๋กœ๋Š” ๊ทธ๋ ‡์ง€ ์•Š๋‹ค. ์˜ˆ๋ฅผ ๋“ค์–ด, ์™„๋ฒฝํ•œ ํด๋Ÿฌ์Šคํ„ฐ๋ง์„ ๋‚˜ํƒ€๋‚ด๋Š” ๊ทธ๋ž˜ํ”„์—์„œ ํ•œ ๊ฐœ์˜ ๋‚ด๋ถ€ ๊ฐ„์„ ์ด ์ œ๊ฑฐ๋˜๋”๋ผ๋„ Q ๊ฐ’์€ ๋ณ€ํ•˜์ง€ ์•Š๋Š”๋‹ค. ์ด

Social Networks Physics Computer Science
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Model of Opinion Spreading in Social Networks

๋ณธ ๋…ผ๋ฌธ์€ ์†Œ์…œ ๋„คํŠธ์›Œํฌ์—์„œ ์ •๋ณด์™€ ์˜๊ฒฌ์ด ์–ด๋–ป๊ฒŒ ํ™•์‚ฐ๋˜๋Š”์ง€์— ๋Œ€ํ•œ ์‹ฌ๋„ ์žˆ๋Š” ๋ถ„์„์„ ์ œ๊ณตํ•œ๋‹ค. ํŠนํžˆ, ๊ธฐ์กด ๋ชจ๋ธ๋“ค์ด ๋…ผ์Ÿ ๊ฐ€๋Šฅํ•œ ์ •๋ณด์˜ ํ™•์‚ฐ ๊ณผ์ •์„ ์ •ํ™•ํžˆ ์„ค๋ช…ํ•˜์ง€ ๋ชปํ•˜๋Š” ํ•œ๊ณ„๋ฅผ ์ง€์ ํ•˜๊ณ , ์ด๋ฅผ ๊ทน๋ณตํ•˜๊ธฐ ์œ„ํ•œ ์ƒˆ๋กœ์šด ์ ‘๊ทผ๋ฒ•์„ ์ œ์‹œํ•œ๋‹ค. 1. ๊ธฐ์กด ์—ฐ๊ตฌ์™€์˜ ์ฐจ๋ณ„ํ™” ์ „์—ผ๋ณ‘ ํ™•์‚ฐ ๋ชจ๋ธ : ์ด ๋ชจ๋ธ์€ ์ •๋ณด๋‚˜ ์˜๊ฒฌ์ด ํ™•์‚ฐ๋˜๋Š” ๊ณผ์ •์„ ์งˆ๋ณ‘ ์ „์—ผ๊ณผ ์œ ์‚ฌํ•˜๊ฒŒ ์„ค๋ช…ํ•œ๋‹ค. ๊ทธ๋Ÿฌ๋‚˜, ๋…ผ์Ÿ ๊ฐ€๋Šฅํ•œ ์ •๋ณด๋Š” ๋‹จ์ˆœํžˆ ๋…ธ์ถœ์— ์˜ํ•œ ๊ฐ์—ผ๋งŒ์œผ๋กœ ์„ค๋ช…ํ•˜๊ธฐ ์–ด๋ ต๋‹ค. ๊ธฐ์ค€ ๋ชจ๋ธ (๋ณต์žกํ•œ ์ „์—ผ) : ์ด ๋ชจ๋ธ์€ ๊ฐœ์ธ์˜ ์˜๊ฒฌ ํ˜•์„ฑ์ด ๊ทธ์˜ ์ฃผ๋ณ€ ๋„คํŠธ์›Œํฌ ๊ตฌ์„ฑ์›๋“ค์˜ ์˜ํ–ฅ์„ ๋ฐ›

Model Physics Network Social Networks Computer Science
Diffusion of Confidential Information on Networks

Diffusion of Confidential Information on Networks

: ๋ณธ ๋…ผ๋ฌธ์€ ๋””์ง€ํ„ธ ์„ธ์ƒ์—์„œ ๊ฐœ์ธ์ •๋ณด์™€ ๋น„๋ฐ€์ •๋ณด๊ฐ€ ์–ด๋–ป๊ฒŒ ํผ์ ธ๋‚˜๊ฐ€๋Š”์ง€๋ฅผ ์ˆ˜ํ•™์ ์œผ๋กœ ๋ชจ๋ธ๋งํ•˜๊ณ  ๋ถ„์„ํ•˜๋Š” ๋ฐ ์ดˆ์ ์„ ๋งž์ถ”๊ณ  ์žˆ๋‹ค. ์ด๋Š” ์ •๋ณด ๊ธฐ์ˆ ์˜ ๋ฐœ์ „์œผ๋กœ ์ธํ•ด ์–ธ์ œ ์–ด๋””์„œ๋“  ์ •๋ณด๋ฅผ ๊ณต์œ ํ•  ์ˆ˜ ์žˆ๊ฒŒ ๋˜๋ฉด์„œ, ๋ฏผ๊ฐํ•œ ์ฝ˜ํ…์ธ ์˜ ๋ณด์•ˆ ์œ ์ง€๊ฐ€ ๋”์šฑ ์ค‘์š”ํ•˜๊ฒŒ ๋œ ์ƒํ™ฉ์„ ๋ฐ˜์˜ํ•œ๋‹ค. ๋„คํŠธ์›Œํฌ ๊ตฌ์กฐ์™€ ๊ฐœ์ธ์ •๋ณด ํ™•์‚ฐ ๋ณธ ๋…ผ๋ฌธ์€ ๋„คํŠธ์›Œํฌ ์ด๋ก ์„ ๊ธฐ๋ฐ˜์œผ๋กœ ๋‹ค์–‘ํ•œ ์œ ํ˜•์˜ ๋„คํŠธ์›Œํฌ์—์„œ ์ •๋ณด์˜ ํ™•์‚ฐ ํŒจํ„ด์„ ๋ถ„์„ํ•˜๊ณ  ์žˆ๋‹ค. ๋„คํŠธ์›Œํฌ๋Š” ์ (๋…ธ๋“œ)๊ณผ ์„ (์—ฃ์ง€)์œผ๋กœ ๊ตฌ์„ฑ๋˜๋ฉฐ, ๋…ธ๋“œ์™€ ์—ฃ์ง€์˜ ์—ฐ๊ฒฐ ๋ฐฉ์‹์— ๋”ฐ๋ผ ์—ฌ๋Ÿฌ ๊ฐ€์ง€ ํ˜•ํƒœ๋กœ ๊ตฌ๋ถ„๋œ๋‹ค. 1. ์™„์ „ํ•œ ๋„คํŠธ์›Œํฌ : ๋ชจ

Computer Science Physics Social Networks Network
A Rejoinder on Energy versus Impact Indicators

A Rejoinder on Energy versus Impact Indicators

: ๋ณธ ๋…ผ๋ฌธ์€ ๊ณผํ•™ ์—ฐ๊ตฌ์˜ ์˜ํ–ฅ๋ ฅ์„ ์ธก์ •ํ•˜๋Š” ์ƒˆ๋กœ์šด ์ง€ํ‘œ์ธ ํ†ตํ•ฉ ์˜ํ–ฅ ์ง€ํ‘œ(I3)๋ฅผ ์ œ์•ˆํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์ด๋Š” ๊ธฐ์กด์˜ ์ €๋„ ์ธ์šฉ ์ ์ˆ˜(JCS)์™€ ๋ถ„์•ผ ์ธ์šฉ ์ ์ˆ˜(FCS)๋ฅผ ํ‰๊ท ์œผ๋กœ ์‚ฌ์šฉํ•˜๋Š” ๋ฐฉ์‹๊ณผ ๋‹ฌ๋ฆฌ, ๋‘ ํžˆํŠธ(citations)์˜ ์˜ํ–ฅ์„ ํ•ฉ์œผ๋กœ ๊ณ„์‚ฐํ•ฉ๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ์ ‘๊ทผ๋ฒ•์€ ์ถฉ๋Œ ์‹œ ๋ชจ๋ฉ˜ํ…€์˜ ๋ฒกํ„ฐ ํ•ฉ๊ณผ ์œ ์‚ฌํ•œ ๊ฐœ๋…์„ ์ ์šฉํ•˜๋ฉฐ, ์ธ์šฉ ๋ถ„์„์—์„œ ์Šค์นผ๋ผ ํ•ฉ์„ ์‚ฌ์šฉํ•˜๋Š” ๊ฒƒ์ด ํƒ€๋‹นํ•˜๋‹ค๋Š” ์ฃผ์žฅ์„ ํ•ฉ๋‹ˆ๋‹ค. ๋…ผ๋ฌธ์—์„œ๋Š” I3๋ฅผ ๊ฐœ๋ฐœํ•˜๋ฉด์„œ Prathap (2011a)์˜ ์—”ํŠธ๋กœํ”ผ ๊ฐœ๋…์ด ํ™•๋ฅ ์  ์—”ํŠธ๋กœํ”ผ๊ฐ€ ์•„๋‹Œ ์—ด์—ญํ•™์  ์—”ํŠธ๋กœํ”ผ๋ผ๋Š” ์ ์„ ์ง€์ ํ•ฉ๋‹ˆ๋‹ค. ์ด

Physics Computer Science Digital Libraries
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The Degree Sequence of Random Apollonian Networks

๋ณธ ๋…ผ๋ฌธ์€ ๋žœ๋ค ์•„ํด๋กœ๋‹ˆ ๋„คํŠธ์›Œํฌ(RANs)์˜ ์ •๋„ ๋ถ„ํฌ์— ๋Œ€ํ•œ ๊นŠ์ด ์žˆ๋Š” ๋ถ„์„์„ ์ œ๊ณตํ•˜๋ฉฐ, ์ด๋Š” ๊ทธ๋ž˜ํ”„ ์ด๋ก ์—์„œ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•˜๋Š” ๋ชจ๋ธ ์ค‘ ํ•˜๋‚˜์ด๋‹ค. RANs๋Š” ํ‰๋ฉด ๊ทธ๋ž˜ํ”„๋กœ์„œ, ๊ฐ ๋‹จ๊ณ„์—์„œ ๋ฌด์ž‘์œ„๋กœ ์‚ผ๊ฐํ˜•์„ ์„ ํƒํ•˜๊ณ  ๊ทธ ๋‚ด๋ถ€์— ์ƒˆ๋กœ์šด ์ •์ ์„ ์ถ”๊ฐ€ํ•˜์—ฌ ๋„คํŠธ์›Œํฌ๋ฅผ ํ™•์žฅํ•œ๋‹ค. 1. ์„œ๋ก  ์„œ๋ก ์—์„œ๋Š” ๋ณธ ๋…ผ๋ฌธ์˜ ์ฃผ์š” ๋ชฉํ‘œ์™€ ์—ฐ๊ตฌ ๋ฐฐ๊ฒฝ์ด ์„ค๋ช…๋œ๋‹ค. RANs๋Š”

Physics Network Mathematics Social Networks Computer Science

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