Search Results - "Morrison, Ralph"

Tropical hyperelliptic curves in the plane by Morrison, Ralph

“…ly, tropical hyperelliptic curves are metric graphs that admit a two-to-one harmonic morphism to a tree. They also appear as embedded tropical curves in the…”
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The gonality of queen's graphs by Morrison, Ralph, Speeter, Noah

“…In this paper we study queen's graphs, which encode the moves by a queen on an n×m chess board, through the lens of chip-firing games. We prove that their…”
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Graphs of scramble number two by Eagleton, Robin, Morrison, Ralph

“…The scramble number of a graph provides a lower bound for gonality and an upper bound for treewidth, making it a graph invariant of interest. In this paper we…”
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On the Gonality of Cartesian Products of Graphs by Aidun, Ivan, Morrison, Ralph

“…In this paper we provide the first systematic treatment of Cartesian products of graphs and their divisorial gonality, which is a tropical version of the…”
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Convex lattice polygons with all lattice points visible by Morrison, Ralph, Tewari, Ayush Kumar

“…Two lattice points are visible to one another if there exist no other lattice points on the line segment connecting them. In this paper we study convex lattice…”
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Tropical images of intersection points by Morrison, Ralph

“…A key issue in tropical geometry is the lifting of intersection points to a non-Archimedean field. Here, we ask: where can classical intersection points of…”
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On the scramble number of graphs by Echavarria, Marino, Everett, Max, Huang, Robin, Jacoby, Liza, Morrison, Ralph, Weber, Ben

“…The scramble number of a graph is an invariant recently developed to aid in the study of divisorial gonality. In this paper we prove that scramble number is…”
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The tropical commuting variety by Morrison, Ralph, Tran, Ngoc M.

“…We study tropical commuting matrices from two viewpoints: linear algebra and algebraic geometry. In classical linear algebra, there exist various criteria to…”
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Multiplicity-free gonality on graphs by Dean, Frances, Everett, Max, Morrison, Ralph

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Iterated and mixed discriminants by Dickenstein, Alicia, Di Rocco, Sandra, Morrison, Ralph

“…Classical work by Salmon and Bromwich classified singular intersections of two quadric surfaces. The basic idea of these results was already pursued by Cayley…”
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Higher-distance commuting varieties by Elyze, Madeleine, Guterman, Alexander, Morrison, Ralph, Šivic, Klemen

“…The commuting variety of matrices over a given field is a well-studied object in linear algebra and algebraic geometry. As a set, it consists of all pairs of…”
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Algorithms for Mumford curves by Morrison, Ralph, Ren, Qingchun

“…Mumford showed that Schottky subgroups of PGL(2,K) give rise to certain curves, now called Mumford curves, over a non-archimedean field K. Such curves are…”
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Bitangents of tropical plane quartic curves by Baker, Matthew, Len, Yoav, Morrison, Ralph, Pflueger, Nathan, Ren, Qingchun

“…We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in…”
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Commuting graphs of $p$-adic matrices by Morrison, Ralph

“…We study the commuting graph of $n\times n$ matrices over the field of $p$-adics $\mathbb{Q}_p$, whose vertices are non-scalar $n\times n$ matrices with…”
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Moduli of tropical plane curves by Brodsky, Sarah, Joswig, Michael, Morrison, Ralph, Sturmfels, Bernd

“…We study the moduli space of metric graphs that arise from tropical plane curves. There are far fewer such graphs than tropicalizations of classical plane…”
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Tropically planar graphs by Coles, Desmond, Dutta, Neelav, Jiang, Sifan, Morrison, Ralph, Scharf, Andrew

“…We study tropically planar graphs, which are the graphs that appear in smooth tropical plane curves. We develop necessary conditions for graphs to be…”
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Graphs of gonality three by Aidun, Ivan, Dean, Frances, Morrison, Ralph, Yu, Teresa, Yuan, Julie

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Corrigendum to “Graphs of gonality three” by Aidun, Ivan, Dean, Frances, Morrison, Ralph, Yu, Teresa, Yuan, Julie

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Moduli dimensions of lattice polygons by Echavarria, Marino, Everett, Max, Huang, Shinyu, Jacoby, Liza, Morrison, Ralph, Tewari, Ayush K., Vlad, Raluca, Weber, Ben

“…Given a lattice polygon P with g interior lattice points, we can associate to P two moduli spaces: the moduli space of algebraic curves that are non-degenerate…”
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The Gonality of Queen's Graphs by Morrison, Ralph, Speeter, Noah

“…In this paper we study queen's graphs, which encode the moves by a queen on an $n\times m$ chess board, through the lens of chip-firing games. We prove that…”
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