Mark Ellingham

Q: What Schools Are Affiliated With Mark Ellingham

Mark Ellingham is affiliated with the following schools: University of Waterloo, University of Oxford, Vanderbilt University, Stanford University

Mark Ellingham's AcademicInfluence.com Rankings

Mark Ellingham

Mathematics

#2652

World Rank

#4059

Historical Rank

#1031

USA Rank

Measure Theory

#5023

World Rank

#5924

Historical Rank

#1413

USA Rank

mathematics Degrees

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Mathematics

Mark Ellingham's Degrees

Masters Mathematics University of Oxford

Why Is Mark Ellingham Influential?

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According to Wikipedia, Mark Norman Ellingham is a professor of mathematics at Vanderbilt University whose research concerns graph theory. With Joseph D. Horton, he is the discoverer and namesake of the Ellingham–Horton graphs, two cubic 3-vertex-connected bipartite graphs that have no Hamiltonian cycle.

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Mark Ellingham's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

List edge colourings of some 1-factorable multigraphs (1996) (70)
Basic subgraphs and graph spectra (1993) (64)
The Spectral Radius of Graphs on Surfaces (2000) (63)
World music : the rough guide (1999) (59)
Toughness, trees, and walks (2000) (56)
Local Structure When All Maximal Independent Sets Have Equal Weight (1998) (44)
A Characterization of Well-covered Cubic Graphs (1993) (37)
Spanning Planar Subgraphs of Graphs in the Torus and Klein Bottle (1995) (29)
Non-hamiltonian 3-connected cubic bipartite graphs (1983) (25)
Connected (g, f)‐factors (2002) (21)
Selection and characterization of RNA aptamers to the RNA-dependent RNA polymerase from foot-and-mouth disease virus. (2006) (21)
The Rough Guide to world music. (2006) (19)
Cycles through ten vertices in 3-connected cubic graphs (1984) (19)
The nonorientable genus of complete tripartite graphs (2006) (18)
P 3 -isomorphisms for graphs (1997) (18)
Spanning Trees in Locally Planar Triangulations (1994) (17)
The nonorientable genus of joins of complete graphs with large edgeless graphs (2007) (17)
Bidegreed graphs are edge reconstructible (1987) (16)
The orientable genus of some joins of complete graphs with large edgeless graphs (2009) (15)
Prism‐hamiltonicity of triangulations (2008) (14)
Isomorphic Factorization of Regular Graphs and 3-Regular Multigraphs (1988) (13)
Connected (g, f)-factors (2002) (12)
Claw-free graphs are edge reconstructible (1988) (12)
Vertex-switching reconstruction of subgraph numbers and triangle-free graphs (1992) (11)
Spanning 2‐trails from degree sum conditions (2004) (10)
Linkage for the diamond and the path with four vertices (2012) (8)
Triangular embeddings of complete graphs (neighborly maps) with 12 and 13 vertices (2005) (8)
A Characterization of K2, 4-Minor-Free Graphs (2014) (8)
Vertex-switching, isomorphism, and pseudosimilarity (1991) (8)
Distinguishing partitions and asymmetric uniform hypergraphs (2011) (7)
Orientable Hamilton Cycle Embeddings of Complete Tripartite Graphs II: Voltage Graph Constructions and Applications (2014) (7)
World Music - Africa, Europe and the Middle East (1999) (7)
Colorability of Planar Graphs with Isolated Nontriangular Faces (2004) (7)
Contractible edges in longest cycles in non-Hamiltonian graphs (1994) (7)
P3-isomorphisms for graphs (1997) (7)
Constructing certain cubic graphs (1982) (6)
Counterexamples to the nonorientable genus conjecture for complete tripartite graphs (2005) (6)
A characterization of $K_{2,4}$-minor-free graphs (2014) (6)
2-Connected spanning subgraphs with low maximum degree in locally planar graphs (2007) (6)
Isomorphic factorization of r-regular graphs into r parts (1988) (6)
Isomorphic factorization of regular graphs of even degree (1988) (6)
Girth, minimum degree, and circumference (2000) (6)
Spanning Trails with Maximum Degree at Most 4 in $$2K_2$$2K2-Free Graphs (2016) (6)
Separating Cycles in Doubly Toroidal Embeddings (2003) (5)
Orientable embeddings and orientable cycle double covers of projective-planar graphs (2009) (5)
Rock : the rough guide (1996) (4)
The asymptotic connectivity of labelled coloured regular bipartite graphs (1983) (4)
Hamiltonicity of planar graphs with a forbidden minor (2016) (4)
Edge-outer graph embedding and the complexity of the DNA reporter strand problem (2017) (4)
Nonorientable hamilton cycle embeddings of complete tripartite graphs (2012) (4)
Prism-hamiltonicity of triangulations (2008) (4)
The Chvátal-Erdős condition for prism-Hamiltonicity (2018) (4)
Partial duality and closed 2-cell embeddings (2015) (4)
The Rough Guide to Morocco (1985) (4)
Italy, the Rough Guide (1992) (3)
Vertex-Switching Reconstruction and Folded Cubes (1996) (2)
Spanning 2-trails from degree sum conditions (2004) (2)
Quadrangular embeddings of complete graphs (2016) (2)
Orientable Hamilton Cycle Embeddings of Complete Tripartite Graphs I: Latin Square Constructions (2014) (2)
Morocco: The Rough Guide (1990) (2)
A characterisation of cubic parity graphs (2003) (2)
Maximum spectral radius of outerplanar 3‐uniform hypergraphs (2020) (2)
Tuscany & Umbria : the rough guide (1994) (1)
Portugal: The Rough Guide (1994) (1)
A Catalog of Enumeration Formulas for Bouquet and Dipole Embeddings under Symmetries (2022) (1)
Criticality of Counterexamples to Toroidal Edge-Hamiltonicity (2013) (1)
Greece : the rough guide (1992) (1)
The Chv\'atal-Erd\H{o}s condition for prism-Hamiltonicity (2018) (1)
Minimal quadrangulations of surfaces (2021) (1)
Cycles in quasi 4-connected graphs (1997) (1)
Spain: The Rough Guide (1992) (0)
To Adrian Bondy on his 70th birthday (2015) (0)
Partial duality for graph embeddings (2013) (0)
Constructing all minimum genus embeddings of K3, n (2008) (0)
Criticality of Counterexamples to Toroidal Edge-Hamiltonicity (2015) (0)
Andalucia : the rough guide (1985) (0)
One‐way infinite 2‐walks in planar graphs (2015) (0)
The orientable genus of certain complete tripartite graphs (2003) (0)
Toughness and spanning trees in K4mf graphs (2019) (0)

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Other Resources About Mark Ellingham

en.wikipedia.org

What Schools Are Affiliated With Mark Ellingham?

Mark Ellingham is affiliated with the following schools:

Mark Ellingham's Academic­Influence.com Rankings