Dan Archdeacon
American mathematician
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Mathematics
Why Is Dan Archdeacon Influential?
(Suggest an Edit or Addition)According to Wikipedia, Dan Steven Archdeacon was an American graph theorist specializing in topological graph theory, who served for many years as a professor of mathematics and statistics at the University of Vermont. Archdeacon was born on May 11, 1954, in Dayton, Ohio, and grew up in Centerville, Ohio. He did his undergraduate studies at Earlham College, graduating in 1975. He completed his Ph.D. in 1980 from Ohio State University, under the supervision of Henry Hatfield Glover, with a dissertation proving an analogue of Kuratowski's theorem for the projective plane. He took a position at the University of Vermont in 1982, joining fellow graph theorist and Ohio State graduate Jeff Dinitz, after previously working as an instructor at the University of Kansas. He died of cancer on February 18, 2015, in Burlington, Vermont.
Dan Archdeacon's Published Works
Published Works
- Topological Graph Theory (1987) (1233)
- A Kuratowski theorem for the projective plane (1981) (195)
- Some remarks on domination (2004) (68)
- Chromatic numbers of quadrangulations on closed surfaces (2001) (52)
- A Kuratowski theorem for nonorientable surfaces (1989) (51)
- Topological Graph Theory - A Survey (1996) (50)
- Heffter Arrays and Biembedding Graphs on Surfaces (2014) (49)
- A note on defective colorings of graphs in surfaces (1987) (45)
- The medial graph and voltage- current duality (1992) (40)
- Constructing and forbidding automorphisms in lifted maps (1997) (38)
- The construction and classification of self-dual spherical polyhedra (1992) (38)
- Square integer Heffter arrays with empty cells (2014) (37)
- Maximum genus and connectivity (1996) (37)
- Tight Heffter Arrays Exist for all Possible Values (2015) (34)
- How to Exhibit Toroidal Maps in Space (2007) (32)
- On Partial Sums in Cyclic Groups (2015) (29)
- Densely embedded graphs (1992) (28)
- Four-terminal reducibility and projective-planar wye-delta-wye-reducible graphs (2000) (25)
- The nonorientable genus is additive (1986) (24)
- Fractional chromatic numbers of cones over graphs (2001) (24)
- The genus of a random graph (1995) (21)
- Branched coverings of maps and lifts of map homomorphisms (1994) (21)
- On the parity of crossing numbers (1988) (21)
- The orientable genus is nonadditive (1986) (20)
- Face colorings of embedded graphs (1984) (20)
- Bipartite covering graphs (2000) (18)
- Some New Row-Complete Latin Squares (1980) (18)
- An algebraic characterization of planar graphs (1995) (17)
- Two graphs without planar covers (2002) (17)
- Nonhamiltonian Triangulations with Large Connectivity and Representativity (1996) (16)
- Cycle systems in the complete bipartite graph minus a one-factor (2004) (16)
- Trinity symmetry and kaleidoscopic regular maps (2013) (15)
- The Complexity of the Graph Embedding Problem (1990) (14)
- Self-dual embeddings of complete multipartite graphs (1994) (14)
- The Construction of Self-Dual Projective Polyhedra (1993) (14)
- On the parity of planar covers (1990) (12)
- SELF-DUAL REGULAR MAPS FROM MEDIAL GRAPHS (1992) (11)
- Characterizing planarity using theta graphs (1998) (11)
- Two maps on one surface (2001) (11)
- Obstruction sets for outer‐cylindrical graphs (2001) (10)
- Constructing indecomposable 1-factorizations of the complete multigraph (1991) (9)
- Indecomposable triple systems exist for all lambda (1993) (9)
- A Survey of Self-Dual Polyhedra (1992) (9)
- Self-dual embeddings of complete bipartite graphs (1992) (9)
- Obstruction Sets for Outer-Projective-Planar Graphs (1998) (9)
- Problems in Topological Graph Theory (1995) (8)
- Trading crossings for handles and crosscaps (2001) (8)
- A Nebeský-Type Characterization for Relative Maximum Genus (1998) (6)
- Obstructions for embedding cubic graphs on the spindle surface (2004) (6)
- On cubic graphs which are irreducible for nonorientable surfaces (1985) (5)
- Regular pinched maps (2014) (5)
- Halin's Theorem for the Msbius Strip (2003) (4)
- Embedding quartic Eulerian digraphs on the plane (2017) (4)
- Whitney's theorem for 2-regular planar digraphs (2017) (4)
- A Picture is Worth a Thousand Words: Topological Graph Theory (2001) (3)
- Halin's theorem for cubic graphs on an annulus (2004) (3)
- Variations on a theme of Kuratowski (2005) (3)
- Superthrackles (2017) (3)
- Nesting points in the sphere (2002) (3)
- Maximum genus, connectivity, and Nebeský's Theorem (2014) (3)
- A characterization of projective-planar signed graphs (2005) (2)
- LINE GRAPHS OF COVERING GRAPHS ARE COVERING GRAPHS (2000) (2)
- The Genus of Amalgamations (1989) (2)
- Sewing Ribbons on Graphs in Space (2002) (2)
- The Hadwiger Number for the Product of Two Cycles (1996) (2)
- Representing Graphs in Steiner Triple Systems (2014) (2)
- PROBLEMS IN TOPOLOGICAL GRAPH THEORY : QUESTIONS I CAN'T ANSWER (1999) (2)
- Regular clique covers of graphs (2003) (1)
- A characterization of plane Gauss paragraphs (2016) (1)
- Crossing Numbers Turn Useful (2011) (1)
- Steiner Triple Systems, Pinched Surfaces, and Complete Multigraphs (2014) (1)
- Obstruction sets for outer-cylindrical graphs (2001) (1)
- Cycles, Cocycles and Diagonals: A Characterization of Planar Graphs (1991) (1)
- Representing graphs in Steiner triple systems - II (2017) (1)
- $E$-restricted double traces (2016) (1)
- QUESTIONS I CAN'T ANSWER { (1999) (0)
- A letter from the editors (2005) (0)
- Face Colorings of Embedded Dan Archdeacon Graphs (2006) (0)
- How to Eliminate Crossings by Adding Handles or Crosscaps (2007) (0)
- Representing Graphs in Steiner Triple Systems (2013) (0)
- Square integer Heffter arrays with empty cells (2015) (0)
- Steiner Triple Systems, Pinched Surfaces, and Complete Multigraphs (2013) (0)
- 2 A Closer Look at Crossing Numbers (2011) (0)
- Preface (2005) (0)
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