11 citations · 32 across the 10 of their papers we have counts for
11 papers
Studying links via booklinks: A Markov theorem
Roman Aranda, Fraser Binns, Margaret Doig
We introduce "book links" as a generalization of braids in open book decompositions; this new class of objects includes both braids and plats as special cases. We then prove a vers…
Block eccentricity, a radius bound, and an application to the Randić index
Margaret I. Doig
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 contain…
Randic index, radius, and diameter for cactus graphs
Margaret I. Doig
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…
Typical knots: size, link component count, and writhe
Margaret I. Doig
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…
A combinatorial proof of the homology cobordism classification of lens spaces
Margaret Doig, Stephan Wehrli
It follows implicitly from recent work in Heegaard Floer theory that lens spaces are homology cobordant exactly when they are oriented homeomorphic. We provide a new combinatorial…
On the intersection ring of graph manifolds
Margaret I. Doig, Peter D. Horn
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 underly…