Blake Mellor

Search results

• 2024

  N-quandles of Spatial Graphs

  Peral, V. B. & Mellor, B., Jun 2024, In: Kyungpook Mathematical Journal. 64, 2, p. 311-335 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2023

  Topological Symmetry Groups of the Petersen Graphs

  Elzie, D., Fridhi, S., Mellor, B., Silva, D. & Wilson, R. T., Jun 15 2023, In: Symmetry. 15, 6, 1267.

  Research output: Contribution to journal › Article › peer-review
• 2022

  Finite involutory quandles of two-bridge links with an axis

  Mellor, B., 2022, In: Journal of Knot Theory and its Ramifications. 31, 2, 2250009.

  Research output: Contribution to journal › Article › peer-review
• 2021

  N-quandles of links

  Mellor, B. & Smith, R., May 1 2021, In: Topology and its Applications. 294, 107662.

  Research output: Contribution to journal › Article › peer-review
• 2020

  Graphs admitting only constant splines

  Anders, K., Crans, A. S., Foster-Greenwood, B., Mellor, B. & Tymoczko, J., Feb 12 2020, In: Pacific Journal of Mathematics. 304, 2, p. 385-400 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Graphs admitting only constant splines

  Crans, A. & Mellor, B., Jan 1 2020, In: Mathematics, Statistics and Data Science Faculty Works.

  Research output: Contribution to journal › Article

• Virtual rational tangles

  Mellor, B. & Nevin, S., May 6 2020, In: Journal of Knot Theory and its Ramifications. 29, 6, 2050034.

  Research output: Contribution to journal › Article › peer-review
• 2019

  Finite n-quandles of torus and two-bridge links

  Crans, A. S., Mellor, B., Shanahan, P. D. & Hoste, J., Mar 21 2019, In: Journal of Knot Theory and its Ramifications. 28, 3, 18 p., 1950028.

  Research output: Contribution to journal › Article › peer-review

  Open Access
• 2017

  The Alexander polynomial for virtual twist knots

  Benioff, I. & Mellor, B., Jan 2017, In: Journal of Knot Theory and its Ramifications. 26, 1, 23 p., 1750007.

  Research output: Contribution to journal › Article › peer-review

• The Alexander Polynominal for Virtual Twist Knots

  Benioff, I. & Mellor, B., Jan 1 2017, In: Mathematics Faculty Works.

  Research output: Contribution to journal › Article
• 2016

  Alexander and writhe polynomials for virtual knots

  Mellor, B., 2016, In: Journal of Knot Theory and its Ramifications. 25, 8

  Research output: Contribution to journal › Article › peer-review

• Colorings, determinants and Alexander polynomials for spatial graphs

  Kong, T., Lewald, A., Mellor, B. & Pigrish, V., Jan 18 2016, In: Journal of Knot Theory and its Ramifications. 25, 4, p. 1-14

  Research output: Contribution to journal › Article › peer-review

• Topological Symmetry Groups of Complete Bipartite Graphs

  Hake, K., Mellor, B. & Pittluck, M., Jun 2016, In: Tokyo Journal of Mathematics. 39, 1, p. 133-156 24 p.

  Research output: Contribution to journal › Article › peer-review

• Topological Symmetry Groups of Complete Bipartite Graphs

  Hake, K., Mellor, B. & Pittluck, M., Jun 1 2016, In: Mathematics, Statistics and Data Science Faculty Works.

  Research output: Contribution to journal › Article
• 2015

  The Forbidden Number of a Knot

  Crans, A. S., Mellor, B. & Ganzell, S., 2015, In: Kyungpook Mathematical Journal. 55, 2, p. 485-506

  Research output: Contribution to journal › Article › peer-review

• 2014

  Classification of topological symmetry groups of K_n

  Flapan, E., Mellor, B., Naimi, R. & Yoshizawa, M., 2014, In: Topology Proceedings. 43, p. 209-233 25 p.

  Research output: Contribution to journal › Article › peer-review

• Complete bipartite graphs whose topological symmetry groups are polyhedral

  Mellor, B., Jun 2014, In: Tokyo Journal of Mathematics. 37, 1, p. 135-158 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Symmetries of embedded complete bipartite graphs

  Flapan, E., Lehle, N., Mellor, B., Pittluck, M. & Vongsathorn, X., 2014, In: Fundamenta Mathematicae. 226, p. 1-16

  Research output: Contribution to journal › Article › peer-review

• 2013

  Counting links and knots in complete graphs

  Abrams, L., Mellor, B. & Trott, L., Dec 2013, In: Tokyo Journal of Mathematics. 36, 2, p. 429-458 30 p.

  Research output: Contribution to journal › Article › peer-review
• 2012

  Spatial Graphs with Local Knots

  Flapan, E., Mellor, B. & Naimi, R., 2012, In: Revista Matemática Complutense. 25, 2, p. 493-510

  Research output: Contribution to journal › Article › peer-review

• Using Tiling theory to generate angle weaves with beads

  Fisher, G. L. & Mellor, B., Nov 29 2012, In: Journal of Mathematics and the Arts. 6, 4, p. 141-158 18 p.

  Research output: Contribution to journal › Article › peer-review

• Using Tiling Theory to Generate Angle Weaves with Beads

  Fisher, G. L. & Mellor, B., Jan 1 2012, In: Mathematics, Statistics and Data Science Faculty Works.

  Research output: Contribution to journal › Article
• 2011

  Complete graphs whose topological symmetry groups are polyhedral

  Flapan, E., Mellor, B. & Naimi, R., 2011, In: Algebraic Geometric Topology. 11, p. 1405-1433

  Research output: Contribution to journal › Article › peer-review

• Review of Viewpoints: Mathematical Perspective and Fractal Geometry in Art

  Mellor, B., 2011, In: Journal of Mathematics and the Arts. 5, 4, p. 221-222

  Research output: Contribution to journal › Article

• 2010

  Drawing a Triangle on the Thurston Model of Hyperbolic Space

  Bennett, C. D., Mellor, B. & Shanahan, P. D., Apr 2010, In: Mathematics Magazine. 83, 2, p. 83-99

  Research output: Contribution to journal › Article › peer-review

• 2009

  Counting links in complete graphs

  Fleming, T. & Mellor, B., 2009, In: Osaka Journal of Mathematics. 46, 1, p. 173-201 29 p.

  Research output: Contribution to journal › Article › peer-review

• Counting Links in Complete Graphs

  Fleming, T. & Mellor, B., Jan 1 2009, In: Mathematics, Statistics and Data Science Faculty Works.

  Research output: Contribution to journal › Article
• 2008

  Intrinsic linking and knotting are arbitrarily complex

  Flapan, E., Mellor, B. & Naimi, R., 2008, In: Fundamenta Mathematicae. 201, 2, p. 131-148

  Research output: Contribution to journal › Article › peer-review

• The Exhibition of Mathematical Art at 2008 Joint Mathematics Meetings

  Mellor, B., Jan 1 2008, In: Mathematics, Statistics and Data Science Faculty Works.

  Research output: Contribution to journal › Article

• The exhibition of mathematical art at the 2008 joint mathematics meetings

  Mellor, B., 2008, In: Journal of Mathematics and the Arts. 2, 1, p. 39-45 7 p.

  Research output: Contribution to journal › Article › peer-review

• Tree diagrams for string links II: Determining chord diagrams

  Mellor, B., Jun 2008, In: Journal of Knot Theory and its Ramifications. 17, 6, p. 649-664 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Weight Systems for Milnor Invariants

  Mellor, B., 2008, In: Journal of Knot Theory and its Ramifications. 17, 2, p. 213-230

  Research output: Contribution to journal › Article › peer-review

• 2007

  An Introduction to Virtual Spatial Graph Theory

  Fleming, T. & Mellor, B., 2007, In: OCAMI Studies. 1, p. 1-9

  Research output: Contribution to journal › Article

• Intrinsic Linking and Knotting in Virtual Spatial Graphs

  Fleming, T. & Mellor, B., 2007, In: Algebraic Geometric Topology. 7, p. 583-601

  Research output: Contribution to journal › Article › peer-review

• Three Dimensional Finite Point Groups and the Symmetries of Beaded Beads

  Fisher, G. L. & Mellor, B., Jan 1 2007, In: Mathematics Faculty Works.

  Research output: Contribution to journal › Article

• Three-dimensional finite point groups and the symmetry of beaded beads

  Fisher, G. L. & Mellor, B., Jun 1 2007, In: Journal of Mathematics and the Arts. 1, 2, p. 85-96 12 p.

  Research output: Contribution to journal › Article › peer-review

• Virtual Spatial Graphs

  Fleming, T. & Mellor, B., 2007, In: Kobe Journal of Mathematics. 24, p. 67-85

  Research output: Contribution to journal › Article › peer-review

• 2006

  Chord Diagrams and Gauss Codes for Graphs

  Fleming, T. & Mellor, B., Feb 28 2006, In: Mathematics Faculty Works. p. 1-20

  Research output: Contribution to journal › Article › peer-review

• Intersection Graphs for String Links

  Mellor, B., 2006, In: Journal of Knot Theory and its Ramifications. 15, 1, p. 53-72

  Research output: Contribution to journal › Article › peer-review

• Intrinsic linking and knotting of graphs in arbitrary 3–manifolds

  Flapan, E., Howards, H., Lawrence, D. & Mellor, B., 2006, In: Algebraic Geometric Topology. 6, p. 1025-1035

  Research output: Contribution to journal › Article › peer-review

• Tree Diagrams for String Links

  Mellor, B., 2006, In: Journal of Knot Theory and its Ramifications. 15, 10, p. 1303-1318

  Research output: Contribution to journal › Article › peer-review

• 2004

  On the Topology of Celtic Knot Designs

  Fisher, G. & Mellor, B., 2004, In: Proceedings of the 7th Annual BRIDGES Conference.

  Research output: Contribution to journal › Article › peer-review

• 2003

  A Few Weight Systems Arising from Intersection Graphs

  Mellor, B., 2003, In: Michigan Mathematical Journal. 51, 3, p. 509-536

  Research output: Contribution to journal › Article › peer-review

• A Geometric Interpretation of Milnor's Triple Invariants

  Mellor, B. & Melvin, P., 2003, In: Algebraic Geometric Topology. 3, p. 557-568

  Research output: Contribution to journal › Article › peer-review

• A geometric interpretation of Milnor's triple linking numbers

  Mellor, B. & Melvin, P., 2003, In: Algebraic and Geometric Topology. 3, 1, p. 557-568 12 p.

  Research output: Contribution to journal › Article › peer-review
• 2001

  On the existence of finite type link homotopy invariants

  Mellor, B. & Thurston, D., 2001, In: Journal of Knot Theory and its Ramifications. 10, 7, p. 1025-1040

  Research output: Contribution to journal › Article › peer-review

• 2000

  Finite Type Link Concordance Invariants

  Mellor, B., 2000, In: Journal of Knot Theory and its Ramifications. 9, 3, p. 367-385

  Research output: Contribution to journal › Article › peer-review

• Finite Type Link Homotopy Invariants II: Milnor's invariants

  Mellor, B., 2000, In: Journal of Knot Theory and its Ramifications. 9, 6, p. 735-758

  Research output: Contribution to journal › Article › peer-review

• The Intersection Graph Conjecture for Loop Diagrams

  Mellor, B., 2000, In: Journal of Knot Theory and its Ramifications. 9, 2, p. 187-211

  Research output: Contribution to journal › Article › peer-review

• 1999

  Finite Type Link Homotopy Invariants

  Mellor, B., 1999, In: Journal of Knot Theory and its Ramifications. 8, 6, p. 773-787

  Research output: Contribution to journal › Article › peer-review