Thomas W. Tucker | Academic Influence

Thomas W. Tucker's AcademicInfluence.com Rankings

Thomas W. Tucker

Mathematics

#4021

World Rank

#5794

Historical Rank

#1424

USA Rank

Group Theory

#262

World Rank

#309

Historical Rank

#56

USA Rank

Algebra

#376

World Rank

#524

Historical Rank

#74

USA Rank

Measure Theory

#3490

World Rank

#4117

Historical Rank

#1012

USA Rank

mathematics Degrees

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Mathematics

Thomas W. Tucker's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Stanford University

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Why Is Thomas W. Tucker Influential?

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According to Wikipedia, Thomas William Tucker is an American mathematician, the Charles Hetherington Professor of Mathematics at Colgate University, and an expert in the area of topological graph theory. Tucker did his undergraduate studies at Harvard University, graduating in 1967, and obtained his Ph.D. from Dartmouth College in 1971, under the supervision of Edward Martin Brown.

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Thomas W. Tucker'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

Topological Graph Theory (1987) (1233)
Generating all graph coverings by permutation voltage assignments (1977) (256)
On Measurement (2009) (158)
Genus distributions for bouquets of circles (1989) (124)
Finite groups acting on surfaces and the genus of a group (1983) (103)
Cayley maps (2005) (79)
Non-compact 3-manifolds and the missing-boundary problem (1974) (61)
Regular Cayley maps for finite abelian groups (2007) (47)
Topics in Topological Graph Theory (2009) (45)
Regular t-balanced Cayley maps (2007) (44)
The genera, reflexibility and simplicity of regular maps (2010) (42)
Realizing finite edge‐transitive orientable maps (2001) (42)
Distinguishing Maps (2011) (38)
Rethinking Rigor in Calculus: The Role of the Mean Value Theorem (1997) (38)
Distinguishability of Infinite Groups and Graphs (2011) (36)
Regular Cayley maps for cyclic groups (2014) (34)
Log-Concavity of Combinations of Sequences and Applications to Genus Distributions (2014) (33)
Quotients of complete graphs: revisiting the Heawood map-coloring problem. (1974) (32)
SOME EXAMPLES OF EXOTIC NON-COMPACT 3-MANIFOLDS (1989) (30)
Infinite motion and 2-distinguishability of graphs and groups (2013) (24)
On proper homotopy theory for noncompact 3-manifolds (1974) (23)
Straight-ahead walks in Eulerian graphs (2004) (22)
Cyclic complements and skew morphisms of groups (2016) (19)
Edge-transitive maps of low genus (2011) (19)
Graphical Frobenius representations (2018) (19)
Growth in Repeated Truncations of Maps (2000) (19)
The number of groups of a given genus (1980) (17)
Motion and distinguishing number two (2011) (17)
Distinguishing Cartesian Products of Countable Graphs (2017) (16)
Partial duality for ribbon graphs, I: Distributions (2020) (16)
Calculating genus polynomials via string operations and matrices (2018) (13)
Log-concavity of genus distributions of ring-like families of graphs (2014) (12)
Distinguishing Graphs of Maximum Valence 3 (2017) (11)
Recurrences for the genus polynomials of linear sequences of graphs (2020) (11)
ON THE FOX-ARTIN SPHERE AND SURFACES IN NONCOMPACT 3-MANIFOLDS (1977) (11)
Two Notes on Maps and Surface Symmetry (2014) (11)
There is one group of genus two (1984) (10)
Iterated claws have real-rooted genus polynomials (2015) (10)
The symmetric genus spectrum of finite groups (2011) (9)
Combinatorial conjectures that imply local log-concavity of graph genus polynomials (2016) (8)
Realizing finite edge-transitive orientable maps (2001) (8)
Log-concavity of the genus polynomials of Ringel Ladders (2015) (8)
Root geometry of polynomial sequences II: Type (1,0) (2015) (7)
FAST COMPUTATIONS IN VOLTAGE GRAPH THEORY (1979) (7)
Strongly adjacency-transitive graphs and uniquely shift-transitive graphs (2002) (7)
Distinguishing index of maps (2020) (7)
Root geometry of polynomial sequences I: Type $(0,1)$ (2015) (7)
Some results on the genus of a group (1981) (7)
A refined Hurwitz theorem for imbeddings of irredundant Cayley graphs (1984) (7)
On proulx's four exceptional toroidal groups (1984) (7)
Boundary-reducible $3$-manifolds and Waldhausen's theorem. (1974) (6)
Euclidean symmetry of closed surfaces immersed in 3-space (2016) (6)
Reform, Tradition, and Synthesis (1999) (6)
Partial duality for ribbon graphs, II: Partial-twuality polynomials and monodromy computations (2021) (6)
LOCAL MAXIMA IN GRADED GRAPHS OF EMBEDDINGS (1979) (6)
A Celtic Framework for Knots and Links (2011) (6)
Distinguishing Maps II: General Case (2013) (6)
Some topological graph theory for topologists: A sampler of covering space constructions (1990) (5)
Growth in products of graphs (2002) (5)
The Exponents of Strongly Connected Graphs (1969) (5)
Characterization of graphs which admit vertex‐transitive embeddings (2007) (4)
The genus of low rank hamiltonian groups (1989) (4)
2-D ABSOLUTE POSITIONING SYSTEM FOR REAL TIME CONTROL APPLICATIONS (2010) (4)
The Genus of the Product of a Group with an Abelian Group (1989) (3)
Topics in Topological Graph Theory: Distribution of embeddings (2009) (3)
Valence-partitioned genus polynomials and their application to generalized dipoles (2017) (3)
Partial duality for ribbon graphs, III: a Gray code algorithm for enumeration (2021) (3)
Bipartite Polyhedral Maps on Closed Surfaces are Distinguishing 3-Colorable with Few Exceptions (2017) (3)
Stratified graphs for imbedding systems (1995) (3)
Asymmetrizing trees of maximum valence 2ℵ0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2^{\aleph _0}$$\end{document (2020) (2)
Representativity of Cayley maps (2014) (2)
Enumerating graph embeddings and partial-duals by genus and Euler genus (2020) (2)
A correction to a paper of A. Marden (1975) (2)
Topics in Topological Graph Theory: Symmetric maps (2009) (2)
Genus polynomials of ladder-like sequences of graphs (2019) (2)
Genus parameters and sizings of groups (2008) (2)
Log-concavity of the genus polynomials for a sequence of cubic Halin graphs (2014) (1)
Distinguishing locally finite trees (2018) (1)
Algorithms and obstructions for embeddings (2009) (1)
On the Maximum Number of Independent Elements in Configurations of Points and Lines (2014) (1)
The non-orientable genus of some metacyclic groups (1992) (1)
On the genera of polyhedral embeddings of cubic graph (2020) (1)
Asymmetrizing cost and density of vertex-transitive cubic graphs (2022) (1)
GROWTH IN PRODUCTS OF GRAPHS Tomaž Pisanski (2009) (1)
Erratum to: Infinite motion and 2-distinguishability of graphs and groups (2015) (1)
Embeddings and geometries (2009) (0)
On the Maximum Number of Independent Elements in Configurations of Points and Lines (2014) (0)
Erratum to: Infinite motion and 2-distinguishability of graphs and groups (2014) (0)
Observations and answers to questions about edge-transitive maps (2020) (0)
Orientation-reversing symmetry of closed surfaces immersed in euclidean 3-space (2021) (0)
THE COVER OF THE JOURNAL (1973) (0)
Overview of Computational Metrology (1998) (0)
Colouring graphs on surfaces (2009) (0)
Finite groups acting on almost all surfaces: Kulkarni revisited (2019) (0)
The CLLC conjecture holds for cyclic outer permutations (2015) (0)
Graphical Frobenius representations (2018) (0)
Infinite graphs and planar maps (2009) (0)
The Genus of a Group (2013) (0)
1902 DISTINGUISHING CARTESIAN PRODUCTS OF COUNTABLE GRAPHS Ehsan Estaji (2016) (0)
Distinguishing index ofmaps (2019) (0)
ON PROPER HOMOTOPY THEORY FOR NONCOMPACT S-MANIFQLDSC 1 ) (1974) (0)
Advanced Medium Scale Real-Time System (1980) (0)
ADVANCED MEDIUM SCALE REAL-TIME SYSTEM Presented (2016) (0)
Matarsystem Foer continuous flow Elkraft. (1987) (0)
Locally finite graphs and embeddings (2008) (0)
Asymmetrizing trees of maximum valence $$2^{\aleph _0}$$ (2020) (0)
Groups and Geometry. By Roger C. Lyndon (1987) (0)
Infinite motion and 2-distinguishability of graphs and groups (2014) (0)
The first comprehensive treatment on topological graph theory is the book of White [3]. The present book by Gross and Tucker is another valuable source on the subject. For obvious (2007) (0)
3D Metrology in Precision Manufacturing (1997) (0)
1902 DISTINGUISHING CARTESIAN PRODUCTS OF COUNTABLE GRAPHS (2016) (0)
Topics in Topological Graph Theory: Embedding graphs on surfaces (2009) (0)
Bipartite Polyhedral Maps on Closed Surfaces are Distinguishing 3-Colorable with Few Exceptions (2017) (0)
Local Genus Polynomials and IO-Polynomials 2 2 . IO-Polynomials of Involutions are LC 4 3 . Using Hultman Numbers (2015) (0)
Euclidean symmetry of closed surfaces immersed in 3-space, Part II (2015) (0)

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