Michael D. Plummer

Michael D. Plummer's AcademicInfluence.com Rankings

Michael D. Plummer

Mathematics

#2994

World Rank

#4508

Historical Rank

#1138

USA Rank

Complex Analysis

#24

World Rank

#37

Historical Rank

#11

USA Rank

Group Theory

#179

World Rank

#212

Historical Rank

#37

USA Rank

Number Theory

#298

World Rank

#373

Historical Rank

#52

USA Rank

mathematics Degrees

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Mathematics

Michael D. Plummer's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Michael D. Plummer Influential?

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According to Wikipedia, Michael David Plummer is a retired mathematics professor from Vanderbilt University. His field of work is in graph theory in which he has produced over a hundred papers and publications. He has also spoken at over a hundred and fifty guest lectures around the world.

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Michael D. Plummer'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

Some covering concepts in graphs (1970) (214)
On n-extendable graphs (1980) (196)
WELL-COVERED GRAPHS: A SURVEY (1993) (134)
Graph factors and factorization: 1985-2003: A survey (2007) (119)
Extending matchings in graphs: A survey (1994) (110)
On minimal blocks (1968) (92)
Mengerian theorems for paths of bounded length (1978) (68)
On the cyclic connectivity of planar graphs (1972) (63)
Cyclic coloration of 3-polytopes (1987) (61)
On a special case of Hadwiger's conjecture (2003) (58)
On a Family of Planar Bicritical Graphs (1975) (48)
A Theorem on Matchings in the Plane (1988) (46)
A nine point theorem for 3-connected graphs (1982) (42)
On the 2-extendability of planar graphs (1991) (41)
On minimal elementary bipartite graphs (1977) (38)
Matching extension and the genus of a graph (1987) (37)
Recent Progress in Matching Extension (2008) (37)
A pair of forbidden subgraphs and perfect matchings (2006) (35)
Vertices Contained in all or in no Minimum Paired-Dominating Set of a Tree (2005) (33)
Improvements of the theorem of Duchet and Meyniel on Hadwiger's conjecture (2005) (32)
Matching properties in domination critical graphs (2004) (31)
Extending matchings in planar graphs IV (1992) (30)
On the 1-factors of a non-separable graph (1967) (28)
Toughness and matching extension in graphs (1988) (26)
Edge proximity and matching extension in planar triangulations (2004) (25)
Extending matchings in claw-free graphs (1994) (23)
The Cartesian product of a k-extendable and an l-extendable graph is (k + l + 1)-extendable (1992) (23)
Proximity thresholds for matching extension in planar and projective planar triangulations (2011) (20)
Matching theory - a sampler: from Dénes König to the present (1992) (20)
Isoperimetric Constants of Infinite Plane Graphs (2002) (20)
On the matching extendability of graphs in surfaces (2008) (19)
On restricted matching extension in planar graphs (2001) (19)
Matchings in 3-vertex-critical graphs: The odd case (2007) (18)
Some results related to the toughness of 3-domination critical graphs (2003) (18)
Domination in a graph with a 2‐factor (2006) (18)
Matching Extension and Connectivity in Graphs. 1. Introduction and Terminology (1986) (18)
On the critical lines of a graph. (1967) (18)
On two equimatchable graph classes (2003) (17)
Two results on matching extensions with prescribed and proscribed edge sets (1999) (17)
Matchings in 3‐vertex‐critical graphs: The even case (2005) (16)
3-Factor-criticality in domination critical graphs (2007) (16)
Factors and Factorization (2013) (16)
On a Conjecture Concerning the Petersen Graph (2011) (16)
Forbidden subgraphs and bounds on the size of a maximum matching (2005) (15)
Closure and factor-critical graphs (2000) (15)
On a family of line-critical graphs (1967) (15)
Restricted matching in graphs of small genus (2008) (14)
On 4-connected Claw-free Well-covered Graphs (1996) (14)
Matching properties in connected domination critical graphs (2008) (14)
On matching extensions with prescribed and proscribed edge sets II (1999) (13)
Distance-restricted matching extension in planar triangulations (2010) (13)
Bounding the Size of Equimatchable Graphs of Fixed Genus (2009) (12)
The 2-extendability of 5-connected graphs on surfaces with large representativity (2011) (11)
On the Core of a Graph (1967) (11)
Errata to "Matching properties in domination critical graphs" [Discrete Math 277 (2004) 1-13] (2006) (11)
On Indecomposable Graphs (1967) (11)
On certain spanning subgraphs of embeddings with applications to domination (2009) (11)
A family of path properties for graphs (1972) (11)
Cycles Through Prescribed and Forbidden Point Sets (1982) (11)
On Cycles and Connectivity in Planar Graphs (1973) (10)
Matching Extension in Bipartite Graphs. 1. Introduction and Terminology (1986) (10)
On a Conjecture Concerning the Petersen Graph: Part II (2014) (10)
Maximum and minimum toughness of graphs of small genus (1997) (10)
On the Connectivity of Graphs Embedded in Surfaces (1998) (9)
Toughness, binding number and restricted matching extension in a graph (2017) (9)
Matching and Vertex Packing: How “hard” are They? (1993) (9)
On well-covered triangulations: Part II (2009) (9)
Linkage for the diamond and the path with four vertices (2012) (8)
Forbidden triples for perfect matchings (2011) (8)
Matchings in 3-vertex-critical graphs: The even case (2005) (8)
Introduction and Terminology 2-Extendability in 3-Polytopes. (1985) (8)
Claw-Free Maximal Planar Graphs (1989) (8)
2-Extendability in Two Classes of Claw-Free Graphs (1992) (7)
On well-covered triangulations: Part I (2003) (7)
Forbidden subgraphs generating a finite set (2013) (7)
Matching Extension in Regular Graphs (1989) (7)
A NINE VERTEX THEOREM FOR 3-CONNECTED CLAW-FREE GRAPHS (2001) (7)
Well-covered triangulations: Part IV (2016) (6)
Erratum to: "Some results related to the toughness of 3-domination critical graphs" [Discrete Math 272 (2003) 5-15] (2006) (6)
Distance restricted matching extension missing vertices and edges in 5‐connected triangulations of the plane (2020) (6)
Dominating plane triangulations (2014) (5)
Appendix: Developments in matching theory since this book was first published (2009) (5)
Forbidden Triples Generating a Finite set of 3-Connected Graphs (2015) (5)
Distance matching in punctured planar triangulations (2016) (5)
On the p-factor-criticality of the Klein bottle (2004) (5)
Dominating maximal outerplane graphs and Hamiltonian plane triangulations (2019) (4)
A pair of forbidden subgraphs and perfect matchings in graphs of high connectivity (2011) (4)
On the Structure of Graphs Vertex Critical with Respect to Connected Domination (2008) (4)
On well-covered triangulations: Part III (2010) (4)
Domination in a graph with a 2-factor (2006) (4)
Matching Extension Missing Vertices and Edges in Triangulations of Surfaces (2017) (4)
Neighborhood unions and factor critical graphs (1999) (4)
Extending matchings in planar graphs V (1996) (3)
Matching extension in prism graphs (2017) (3)
Bounds for isoperimetric constants of infinite plane graphs (2001) (3)
On the Connectivity of Graphs Embedded in Surfaces II (2002) (2)
On well-covered triangulations. (2022) (2)
Genus bounds for embeddings with large minimum degree and representativity (2002) (2)
Some Recent Results on Graph Matching a (1989) (2)
A note on graphs contraction-critical with respect to independence number (2014) (2)
Mathematical and computational methods in R-matrix theory (2007) (2)
Matching extension in quadrangulations of the torus (2013) (1)
Determinants and matchings (2009) (1)
A characterization of well-indumatchable graphs having girth greater than seven (2022) (1)
Some recent results on domination in graphs (2006) (1)
Domination in Graphs (2011) (1)
Some Recent Results on Cycle Traversability in Graphs (1984) (1)
Perfect matchings avoiding prescribed edges in a star-free graph (2015) (1)
Cycle Traversability for Claw-Free Graphs and Polyhedral Maps (2018) (1)
Size and structure of maximum matchings (2009) (1)
Proximity thresholds for matching extension in the torus and Klein bottle (2012) (1)
A corollary to Perfect's theorem (1982) (1)
Matchings in bipartite graphs (2009) (1)
Minimal claw-free graphs (2008) (1)
On well-covered pentagonalizations of the plane (2017) (1)
Extending graphs IV matchings in planar (2001) (0)
A Note on Cyclic Connectivity and Matching Properties of Regular Graphs (2014) (0)
ON MINIMAL BLOCKSC'2) (1967) (0)
Matching extension in toroidal quadrangulations II: the 3-extendable case (2015) (0)
AD-A 248 191 The Cartesian (0)
Extendability and Criticality in Matching Theory (2020) (0)
Matching and linear programming (2009) (0)
A Cycle Traversability Theorem for Claw-free Graphs (2018) (0)
On the Cyclability of k-Connected (k+1)-Regular Graphs. (1986) (0)
Cycle Traversability for Claw-Free Graphs and Polyhedral Maps (2020) (0)
Restricted matching in plane triangulations and near triangulations (2020) (0)
Inflations of anti-cycles and Hadwiger’s Conjecture (2016) (0)
General graphs with perfect matchings (2009) (0)
On the structure of 4-regular planar well-covered graphs (2020) (0)
On the point-core of a graph (1966) (0)
A Theorem on Matchings in the Plane. 2. Some Planar Considerations (1985) (0)
Unit organization of the topic art in the home. (1949) (0)
Vertex packing and covering (2009) (0)
A note on traversing specified vertices in graphs embedded with large representativity (2010) (0)
Asymmetric distance matching extension (2021) (0)
Path traversability in planar graphs (1974) (0)
Stratified fibre bundles and symplectic reduction on coadjoint orbits of su(n). (2008) (0)
Extendability and Criticality in Matching Theory (2020) (0)
Connectivity and $$W_v$$Wv-Paths in Polyhedral Maps on Surfaces (2016) (0)
A Note on Cyclic Connectivity and Matching Properties of Regular Graphs (2013) (0)
Combinatorics: On a family of planar bicritical graphs (1974) (0)
Some graph-theoretical problems related to matchings (2009) (0)
Graphs with the cycle extension property (2012) (0)
The -factor problem (2009) (0)
ON THE CORE OF A GRAPHf (1965) (0)
Bipartite graphs with perfect matchings (2009) (0)
Edge proximity conditions for extendability in regular bipartite graphs (2023) (0)

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Michael D. Plummer's Academic­Influence.com Rankings

Michael D. Plummer's Degrees

Why Is Michael D. Plummer Influential?

Michael D. Plummer's Published Works

Published Works

Other Resources About Michael D. Plummer

What Schools Are Affiliated With Michael D. Plummer?

Michael D. Plummer's AcademicInfluence.com Rankings