Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Doig, Margaret I."'
Autor:
Doig, Margaret I.
We propose a framework for thinking about eccentricity in terms of blocks. We extend the familiar definitions of radius and center to blocks and verify that a central block contains all central points. We classify graphs into two types depending upon
Externí odkaz:
http://arxiv.org/abs/2309.11613
Autor:
Doig, Margaret I.
We study the Randic index for cactus graphs. It is conjectured to be bounded below by radius (for other than an even path), and it is known to obey several bounds based on diameter. We study radius and diameter for cacti then verify the radius bound
Externí odkaz:
http://arxiv.org/abs/2107.00071
Autor:
Doig, Margaret I.
We model the typical behavior of knots and links using grid diagrams. Links are ubiquitous in the sciences, and their "normal" or "typical" behavior is of significant importance in understanding situations such as the topological state of DNA or the
Externí odkaz:
http://arxiv.org/abs/2004.07730
Autor:
Doig, Margaret I., Malik, D. S.
Publikováno v:
New Mathematics & Natural Computation; Nov2024, Vol. 20 Issue 3, p737-764, 28p
Autor:
Doig, Margaret I., Malik, D. S.
Publikováno v:
New Mathematics & Natural Computation; Nov2024, Vol. 20 Issue 3, p765-790, 26p
Autor:
Doig, Margaret I., Horn, Peter D.
We calculate the intersection ring of three-dimensional graph manifolds with rational coefficients and give an algebraic characterization of these rings when the manifold's underlying graph is a tree. We are able to use this characterization to show
Externí odkaz:
http://arxiv.org/abs/1412.3990
Autor:
Doig, Margaret I.
For a fixed p, there are only finitely many elliptic 3-manifolds given by p/q-surgery on a knot in S^3. We prove this result by using the Heegaard Floer correction terms (d-invariants) to obstruct elliptic manifolds from arising as knot surgery.
Externí odkaz:
http://arxiv.org/abs/1302.6130
Autor:
Doig, Margaret I.
Publikováno v:
Algebr. Geom. Topol. 15 (2015) 667-690
Extensive rewrite. Tables and proofs have been reformatted and/or rewritten for clarity.
Comment: 25 pages. version 2
Comment: 25 pages. version 2
Externí odkaz:
http://arxiv.org/abs/1201.4187
Autor:
Doig, Margaret I.1 (AUTHOR) margaretdoig@creighton.edu, Malik, D. S.1 (AUTHOR) malik@creighton.edu
Publikováno v:
New Mathematics & Natural Computation. Apr2024, p1-13. 13p.
Autor:
Doig, Margaret I.
A toroidal grid graph is a Cartesian product of cycles, and the run length of a Hamiltonian cycle in a grid graph is defined to be the maximum number r such that any r consecutive edges include no more than one edge in any dimension. By constructive
Externí odkaz:
http://arxiv.org/abs/math/0412530