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1

A lower bound for the number of Reidemeister moves of type III

J. Scott Carter, Mohamed Elhamdadi, Masahico Saito, Shin Satoh

Journal:

Topology and its Applications

Year:

2006

Language:

english

File:

PDF, 179 KB

english, 2006

2

Patterns and Distances in Words Related to DNA Rearrangement

Jonoska, Nataša, Nabergall, Lukas, Saito, Masahico, Păun, Gheorghe, Rozenberg, Grzegorz, Salomaa, Arto

Journal:

Fundamenta Informaticae

Year:

2017

Language:

english

File:

PDF, 662 KB

english, 2017

3

Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces

J.Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Masahico Saito

Journal:

Advances in Mathematics

Year:

2001

Language:

english

File:

PDF, 597 KB

english, 2001

4

Three dimensional DNA structures in computing

Natasa Jonoska, Stephen A. Karl, Masahico Saito

Journal:

Year:

1999

Language:

english

File:

PDF, 172 KB

english, 1999

5

A Seifert algorithm for knotted surfaces

J.Scott Carter, Masahico Saito

Journal:

Year:

1997

Language:

english

File:

PDF, 1.64 MB

english, 1997

6

Canceling Branch Points on Projections of Surfaces in 4-Space

J. Scott Carter and Masahico Saito

Journal:

Proceedings of the American Mathematical Society

Year:

1992

Language:

english

File:

PDF, 280 KB

english, 1992

7

THE SPUN TREFOIL NEEDS FOUR BROKEN SHEETS

SAITO, MASAHICO, SATOH, SHIN

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2005

Language:

english

File:

PDF, 152 KB

english, 2005

8

REIDEMEISTER MOVES FOR SURFACE ISOTOPIES AND THEIR INTERPRETATION AS MOVES TO MOVIES

CARTER, J. SCOTT, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

1993

Language:

english

File:

PDF, 1.10 MB

english, 1993

9

10.1090/S0002-9939-97-03760-X

Carter, J. Scott, Saito, Masahico

Journal:

Proceedings of the American Mathematical Society

Year:

1997

Language:

english

File:

PDF, 196 KB

english, 1997

10

A Note on Cobordism of Surface Links in S4

Journal:

Proceedings of the American Mathematical Society

Year:

1991

Language:

english

File:

PDF, 173 KB

english, 1991

11

Quandle Cohomology and State-Sum Invariants of Knotted Curves and Surfaces

J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford and Masahico Saito

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 3.94 MB

english, 2003

12

Normal Euler Classes of Knotted Surfaces and Triple Points on Projections

J. Scott Carter and Masahico Saito

Journal:

Proceedings of the American Mathematical Society

Year:

1997

Language:

english

File:

PDF, 310 KB

english, 1997

13

Canceling branch points on projections of surfaces in $4$-space

Carter, J. Scott, Saito, Masahico

Journal:

Proceedings of the American Mathematical Society

Year:

1992

Language:

english

File:

PDF, 732 KB

english, 1992

14

Twist regions and coefficients stability of the colored Jones polynomial

Elhamdadi, Mohamed, Hajij, Mustafa, Saito, Masahico

Journal:

Transactions of the American Mathematical Society

Year:

2018

Language:

english

File:

PDF, 309 KB

english, 2018

15

Insertions Yielding Equivalent Double Occurrence Words

Cruz, Daniel A., Ferrari, Margherita Maria, Jonoska, NataÅ¡a, Nabergall, Lukas, Saito, Masahico, Dennunzio, Alberto, PÄun, Gheorghe, Rozenberg, Grzegorz, Zandron, Claudio

Journal:

Fundamenta Informaticae

Year:

2019

File:

PDF, 861 KB

2019

16

A Combinatorial Description of Knotted Surfaces and Their Isotopies

J.Scott Carter, Joachim H. Rieger, Masahico Saito

Journal:

Advances in Mathematics

Year:

1997

Language:

english

File:

PDF, 747 KB

english, 1997

17

Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories

J. Scott Carter, Louis H. Kauffman, Masahico Saito

Journal:

Advances in Mathematics

Year:

1999

Language:

english

File:

PDF, 1023 KB

english, 1999

18

DNA recombination through assembly graphs

Angela Angeleska, Nataša Jonoska, Masahico Saito

Journal:

Discrete Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 1.86 MB

english, 2009

19

Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces

J. Scott Carter, Kanako Oshiro, Masahico Saito

Journal:

Topology and its Applications

Year:

2010

Language:

english

File:

PDF, 368 KB

english, 2010

20

Quandle homology groups, their Betti numbers, and virtual knots

J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada, Masahico Saito

Journal:

Journal of Pure and Applied Algebra

Year:

2001

Language:

english

File:

PDF, 215 KB

english, 2001

21

Syzygies among elementary string interactions in 2+1 dimensions

J. Scott Carter, Masahico Saito

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 332 KB

english, 1991

22

RNA-guided DNA assembly

Angela Angeleska, Nataša Jonoska, Masahico Saito, Laura F. Landweber

Journal:

Journal of Theoretical Biology

Year:

2007

Language:

english

File:

PDF, 1.13 MB

english, 2007

23

Rewriting rule chains modeling DNA rearrangement pathways

Angeleska, Angela, Jonoska, Nataša, Saito, Masahico

Journal:

Theoretical Computer Science

Year:

2012

Language:

english

File:

PDF, 605 KB

english, 2012

24

POLYNOMIAL COCYCLES OF ALEXANDER QUANDLES AND APPLICATIONS

AMEUR, KHEIRA, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2009

Language:

english

File:

PDF, 276 KB

english, 2009

25

Extensions of Quandles and Cocycle Knot Invariants

Carter, J. Scott, Elhamdadi, Mohamed, Nikiforou, Marina Appiou, Saito, Masahico

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2003

Language:

english

File:

PDF, 246 KB

english, 2003

26

SET-THEORETIC YANG–BAXTER SOLUTIONS VIA FOX CALCULUS

CARTER, J. SCOTT, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2006

Language:

english

File:

PDF, 158 KB

english, 2006

27

THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS

SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2010

Language:

english

File:

PDF, 196 KB

english, 2010

28

Four-regular graphs with rigid vertices associated to DNA recombination

Burns, Jonathan, Dolzhenko, Egor, Jonoska, Nataša, Muche, Tilahun, Saito, Masahico

Journal:

Discrete Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 836 KB

english, 2013

29

Tangle Embeddings and Quandle Cocycle Invariants

Ameur, Kheira, Elhamdadi, Mohamed, Rose, Tom, Saito, Masahico, Smudde, Chad

Journal:

Experimental Mathematics

Year:

2008

Language:

english

File:

PDF, 404 KB

english, 2008

30

ON FORMULATIONS AND SOLUTIONS OF SIMPLEX EQUATIONS

CARTER, J. SCOTT, SAITO, MASAHICO

Journal:

International Journal of Modern Physics A

Year:

1996

Language:

english

File:

PDF, 453 KB

english, 1996

31

STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS

SCOTT CARTER, J., KAMADA, SEIICHI, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2002

Language:

english

File:

PDF, 963 KB

english, 2002

32

Quantum Invariants of Templates

Kauffman, Louis H., Saito, Masahico, Sullivan, Michael C.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2003

Language:

english

File:

PDF, 1.94 MB

english, 2003

33

SHIFTING HOMOMORPHISMS IN QUANDLE COHOMOLOGY AND SKEINS OF COCYCLE KNOT INVARIANTS

CARTER, J. SCOTT, JELSOVSKY, DANIEL, KAMADA, SEIICHI, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2001

Language:

english

File:

PDF, 1.65 MB

english, 2001

34

BRAIDS AND MOVIES

CARTER, J. SCOTT, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

1996

Language:

english

File:

PDF, 653 KB

english, 1996

35

On Finiteness of Certain Vassiliev Invariants

Kauffman, Louis H., Saito, Masahico, Sawin, Stephen F.

Journal:

Journal of Knot Theory and Its Ramifications

Year:

1997

Language:

english

File:

PDF, 457 KB

english, 1997

36

COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION

CARTER, J. SCOTT, CRANS, ALISSA S., ELHAMDADI, MOHAMED, KARADAYI, ENVER, SAITO, MASAHICO

Journal:

Communications in Contemporary Mathematics

Year:

2008

Language:

english

File:

PDF, 482 KB

english, 2008

37

ON THE UNORIENTED SATO-LEVINE INVARIANT

SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

1993

Language:

english

File:

PDF, 580 KB

english, 1993

38

Quandle colorings of knots and applications

Clark, W. Edwin, Elhamdadi, Mohamed, Saito, Masahico, Yeatman, Timothy

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2014

Language:

english

File:

PDF, 410 KB

english, 2014

39

VIRTUAL KNOT INVARIANTS FROM GROUP BIQUANDLES AND THEIR COCYCLES

CARTER, J. SCOTT, SILVER, DANIEL S., WILLIAMS, SUSAN G., ELHAMDADI, MOHAMED, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2009

Language:

english

File:

PDF, 256 KB

english, 2009

40

GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY

CARTER, J. SCOTT, KAMADA, SEIICHI, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2001

Language:

english

File:

PDF, 4.22 MB

english, 2001

41

[Natural Computing Series] Discrete and Topological Models in Molecular Biology || Combinatorial Insights into RNA Secondary Structure

Jonoska, Nataša, Saito, Masahico

Year:

2014

Language:

english

File:

PDF, 334 KB

english, 2014

42

PLANAR GENERALIZATIONS OF THE YANG-BAXTER EQUATION AND THEIR SKEINS

CARTER, J. SCOTT, SAITO, MASAHICO

Journal:

Journal of Knot Theory and Its Ramifications

Year:

1992

Language:

english

File:

PDF, 323 KB

english, 1992

43

Ribbon-Moves for 2-Knots with 1-Handles Attached and Khovanov-Jacobsson Numbers

J. Scott Carter, Masahico Saito and Shin Satoh

Journal:

Proceedings of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 274 KB

english, 2006

44

Ribbon concordance of surface-knots via quandle cocycle invariants

Carter, J. Scott, Saito, Masahico, Satoh, Shin

Journal:

Journal of the Australian Mathematical Society

Year:

2006

Language:

english

File:

PDF, 709 KB

english, 2006

45

Quandle coloring and cocycle invariants of composite knots and abelian extensions

Clark, W. Edwin, Saito, Masahico, Vendramin, Leandro

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2016

Language:

english

File:

PDF, 470 KB

english, 2016

46

Genus Ranges of Chord Diagrams

Burns, Jonathan, Jonoska, Nataša, Saito, Masahico

Journal:

Journal of Knot Theory and Its Ramifications

Year:

2015

Language:

english

File:

PDF, 432 KB

english, 2015

47

10.1090/s0002-9939-06-08288-8

Carter, J. Scott, Saito, Masahico, Satoh, Shin

Journal:

Proceedings of the American Mathematical Society

Year:

2006

Language:

english

File:

PDF, 144 KB

english, 2006

48

10.1090/s1079-6762-99-00073-6

Carter, J. Scott, Jelsovsky, Daniel, Kamada, Seiichi, Langford, Laurel, Saito, Masahico

Journal:

Electronic Research Announcements of the American Mathematical Society

Year:

1999

Language:

english

File:

PDF, 193 KB

english, 1999

49

Alexander Numbering of Knotted Surface Diagrams

J. Scott Carter, Seiichi Kamada and Masahico Saito

Journal:

Proceedings of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 383 KB

english, 2000

50

Recurring patterns among scrambled genes in the encrypted genome of the ciliate Oxytricha trifallax

Burns, Jonathan, Kukushkin, Denys, Chen, Xiao, Landweber, Laura F., Saito, Masahico, Jonoska, Nataša

Journal:

Journal of Theoretical Biology

Year:

2016

Language:

english

File:

PDF, 1.13 MB

english, 2016