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THE ECCENTRIC DIGRAPH OF FRIENDSHIP GRAPH AND FIRECRACKER GRAPH.

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Jou r n al M en u

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Content

Publication Ethics and Publication Malpractice Statement

Con t e n t

Vol um e 63 , I s sue 2 Pg 1 41 - 28 6 ( Ap ril 2 01 2) Vol um e 63 , I s sue 1 Pg 1 - 1 4 0 ( Ap ril 20 1 2)

Special Volu m e ( 2 0 1 3 ) Volu m e 7 5 ( 2 0 1 3 ) Volu m e 7 4 ( 2 0 1 3 ) Volu m e 7 3 ( 2 0 1 3 ) Special Volu m e ( 2 0 1 3 ) Volu m e 7 2 ( 2 0 1 3 ) Volu m e 7 1 ( 2 0 1 2 ) Volu m e 7 0 ( 2 0 1 2 ) Volu m e 6 9 ( 2 0 1 2 ) Volu m e 6 8 ( 2 0 1 2 ) Volu m e 6 7 ( 2 0 1 2 ) Volu m e 6 6 ( 2 0 1 2 ) Volu m e 6 5 ( 2 0 1 2 ) Volu m e 6 4 ( 2 0 1 2 ) Volu m e 6 3 ( 2 0 1 2 )

Volu m e 6 2 ( 2 0 1 2 ) Volu m e 6 1 ( 2 0 1 2 ) Volu m e 6 0 ( 2 0 1 2 ) Volu m e 5 9 ( 2 0 1 1 ) Volu m e 5 8 ( 2 0 1 1 ) Volu m e 5 7 ( 2 0 1 1 ) Volu m e 5 6 ( 2 0 1 1 ) Volu m e 5 5 ( 2 0 1 1 ) Volu m e 5 4 ( 2 0 1 1 ) Volu m e 5 3 ( 2 0 1 1 ) Volu m e 5 2 ( 2 0 1 1 ) Volu m e 5 1 ( 2 0 1 1 ) Volu m e 5 0 ( 2 0 1 1 ) Volu m e 4 9 ( 2 0 1 1 ) Volu m e 4 8 ( 2 0 1 1 ) Volu m e 4 7 ( 2 0 1 0 ) Volu m e 4 6 ( 2 0 1 0 ) Volu m e 4 5 ( 2 0 1 0 ) Volu m e 4 4 ( 2 0 1 0 ) Volu m e 4 3 ( 2 0 1 0 ) Volu m e 4 2 ( 2 0 1 0 ) Volu m e 4 1 ( 2 0 1 0 ) Volu m e 4 0 ( 2 0 1 0 )

Fa r East Jou r n al of M at he m at ical Scien ces ( FJM S)

Ca ll f or P a p e r s:

Sp e cia l Volu m e 2 0 1 3 of t h e Fa r Ea st

Jour n a l of M a t h e m a t ica l Scie n ce s ( FJM S) de v ot e d t o

a r t icle s on Com pu t e r Scie n ce s, I n for m a t ion Scie n ce s,

Fin a n cia l M a n a g e m e n t a nd Biolog ica l Scie n ce s.

* * * * *

For e ig n Su b scr ib e r I n for m a t ion : Av a il f r e e a cce ss t o

t h e Ele ct r on ic V e r sion of Spe cia l V olu m e 2 0 1 3 of t h e

Fa r Ea st Jou r n a l of M a t h e m a t ica l Scie n ce s ( FJM S) on

it s For e ig n 2 0 1 3 Su b scr ipt ion.

Volu m e 6 3 , I ssu e 2 , Pa g e s 1 4 1 - 2 8 6 ( Ap r il 2 0 1 2 )

Ar t icle s 1 - 9 of 9 [ 1 ]

STRU CT URE TH EOR EM S I N O- M I N I M AL STR UCT UR ES

by: Tom oh ir o Kawakam i Page: 14 1 - 1 5 5

Abst r act | Refer en ces | Add t o m y car t

GLOBAL D YN AM I CS FOR A TB M OD EL I N COR POR AT I N G CA SE D ET ECTI ON AN D N ON I N FECTI OU S T B CASES

by: Lu j u Liu , Yu sen Wu an d Gu owei You Page: 15 7 - 1 8 0

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COM M ON FI XED POI N T TH EOR EM S FOR GEN ERALI Z ED CON T RACTI VE TYPE A N D GEN ERALI Z ED QUASI

-CON T RACTI VE TYPE M APPI N GS ON -CON E M ETRI C SPA CES

by: Seon g- Hoon Ch o, Jee- Won Lee, Jon g- Sook Bae an d Kwan g- Soo Na

Page: 18 1 - 2 0 2

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ON TH E SOLUT I ON OF TH E N - D I M EN SI ON AL D I AM ON D KLEI N - GORD ON OPERA TOR A N D I TS CON VOLU TI ON

by: Kam sin g Non laopon , Apisit Lu n n ar ee an d Am n u ay Kan an t h ai Page: 20 3 - 2 2 0

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T H E ECCEN T RI C D I GRA PH OF FRI EN D SH I P GRAPH AN D FI R ECR ACKER GRAPH

by: Tr i At m oj o Ku sm ayadi and Nu gr oh o Ar if Su dibyo Page: 22 1 - 2 3 4

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GEN ERA LI ZA TI ON S OF H ER M I T E- H AD AM AR D - LI KE T YPE I N EQU ALI TI ES FOR CO- OR D I N A TED CON VEX AN D CON CA VE M APPI N GS

by: Jaekeu n Par k Page: 23 5 - 2 5 1

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N EW OSCI LLATI ON CRI T ERI A FOR SECON D ORD ER N EUT RAL EQU ATI ON S W I T H D I STR I BUTED D EVI AT I N G AR GUM EN T

by: Yazh ou Tian , Min Fan an d Fan wei Men g Page: 25 3 - 2 6 8

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A N OT E ON SOM E PV- EQU I VA LEN CE

by: Tat su o Kim u r a, Yoshit er u Ku r osawa an d Taiki Sh ibat a Page: 26 9 - 2 8 0

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ON TH E ARC REVERSAL A N D CLOSED W ALKS W I T H PRESCRI BED BOUN D S ON A RCS VI SI T S

by: Zbign iew R. Bogdan owicz Page: 28 1 - 2 8 6

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Journa l M e nu

Journal Home Editorial Board Guidelines for Authors Subscribe Content

Publication Ethics and Publication Malpractice Statement

Cont e nt

Vo lume 63, I ssue 2 Pg 141 - 286 (April 2 012) Vo lume 63, I ssue 1 Pg 1 - 14 0 ( April 201 2)

Special Vol um e ( 20 13) Vol um e 7 5 ( 201 3) Vol um e 7 4 ( 201 3) Vol um e 7 3 ( 201 3) Special Vol um e ( 20 13) Vol um e 7 2 ( 201 3) Vol um e 7 1 ( 201 2) Vol um e 7 0 ( 201 2) Vol um e 6 9 ( 201 2) Vol um e 6 8 ( 201 2) Vol um e 6 7 ( 201 2) Vol um e 6 6 ( 201 2) Vol um e 6 5 ( 201 2) Vol um e 6 4 ( 201 2) Vol um e 6 3 ( 201 2)

Vol um e 6 2 ( 201 2) Vol um e 6 1 ( 201 2) Vol um e 6 0 ( 201 2) Vol um e 5 9 ( 201 1) Vol um e 5 8 ( 201 1) Vol um e 5 7 ( 201 1) Vol um e 5 6 ( 201 1) Vol um e 5 5 ( 201 1) Vol um e 5 4 ( 201 1) Vol um e 5 3 ( 201 1) Vol um e 5 2 ( 201 1) Vol um e 5 1 ( 201 1) Vol um e 5 0 ( 201 1) Vol um e 4 9 ( 201 1) Vol um e 4 8 ( 201 1) Vol um e 4 7 ( 201 0) Vol um e 4 6 ( 201 0) Vol um e 4 5 ( 201 0) Vol um e 4 4 ( 201 0) Vol um e 4 3 ( 201 0) Vol um e 4 2 ( 201 0) Vol um e 4 1 ( 201 0) Vol um e 4 0 ( 201 0) Vol um e 3 9 ( 201 0) Vol um e 3 8 ( 201 0)

Fa r Ea st Journ al of M a t he m a t ica l Scie nce s ( FJM S)

Call f or Pa p er s: Sp e cial V olu m e 2 0 1 3 of t h e Fa r Ea st Jou r n al

of M a t h em at ica l Scien ce s ( FJM S) d e v ot e d t o ar t icle s on

Com p u t er Scien ce s, I n f or m at ion Scien ce s, Fin a n cia l

M a n a g em en t a n d Biolog ica l Scie n ces.

* * * * *

For e ig n

Su b scr ib e r I n f or m at ion : Av a il fr e e acce ss t o t h e Ele ct r on ic

Ve r sion of Sp e cia l Volu m e 2 0 1 3 of t h e Far Ea st Jou r n a l of

M a t h em at ica l Scien ce s ( FJM S) on it s For eig n 2 0 1 3

Su b scr ip t ion .

Fa r East Jou r n a l of M a t h em a t ica l Scie n ce s ( FJM S)

Vo lu m e 6 3 , I ssu e 2 , Pag e s 2 2 1 - 2 3 4 ( A p r il 2 0 1 2 )

TH E ECCEN TRI C D I GRAPH OF FRI EN D SH I P GRAP H AN D

FI RECRACKER GRAPH

T r i A t m o j o Kusm a yad i an d N u g r o h o A r if Su d ib yo

Re ceiv ed Oct o be r 3 1 , 2 0 1 1 ; R evise d D ecem b er 2 3 , 2 0 1 1

Ab st r act

Let G be a gr aph w it h a set of v er t ices an d a set of edges Then t h e di st an ce fr om v er t ex u t o v er t ex v in G, denot ed by i s t he len gt h of t h e shor t est pat h fr om v er t ex u t o v . The eccen t r ici t y of v er t ex u i n a gr aph G i s t h e m ax i m um di st an ce fr om v er t ex u t o any ot her v er t i ces in G, denot ed by Ver t ex v is an eccen t r ic v er t ex fr om u i f The eccen t r ic di gr aph of a gr aph G i s a gr aph t hat has t he sam e set of v er t i ces as G, and t her e is an ar c ( di r ect ed edge) j oin ing v er t ex u t o v if v i s an eccen t r ic v er t ex fr om u. I n t hi s paper, w e det er m in e t he eccent r i c digr aph of a class of gr aphs cal led t he fr ien dshi p gr aph an d fir ecr ack er gr aph

Key w o r d s a nd ph r a ses: eccen t r ic digr aph, eccent r ici t y, fr i endsh ip gr aph , fir ecr ack er gr aph .

P r ev iou s N ex t

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