Peter McMullen

5.7k citations
115 papers · 2.9k indexed · 1 hit paper · h-index 29

Impact in

Papers in

Peter McMullen

111 papers receiving 2.6k citations

Hit Papers

The maximum numbers of faces of a convex polytope 1970 · 332 citations
3321970202619882007100200300

Peers

Peter McMullen
Comparison fields: 5 of 110
  • Discrete Mathematics and Combinatorics 1.3k
  • Computer Graphics and Computer-Aided Design 554
  • Geometry and Topology 1.0k
  • Algebra and Number Theory 416
  • Applied Mathematics 753
Replace G. C. Shephard with:
G. C. Shephard United Kingdom
Victor Klee United States
Richard Pollack United States
Endre Szemerédi United States
Zoltán Füredi Hungary
Thomas Zasĺavsky United States
C. A. Rogers United Kingdom
W. T. Tutte Canada
Vera T. Sós Hungary
Péter Frankl Hungary
Peter McMullen relative to G. C. Shephard United Kingdom G. C. Shephard's profile →
Citations per field
00.5×1.5×1.8×
G. C. Shephard · 1×
Citations per year

Countries citing papers authored by Peter McMullen

Since Specialization
Citations

This map shows the geographic impact of Peter McMullen's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter McMullen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter McMullen more than expected).

Fields of papers citing papers by Peter McMullen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter McMullen. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter McMullen. The network helps show where Peter McMullen may publish in the future.

Co-authorship network

The 16 scholars most cited alongside Peter McMullen, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Peter McMullen Line = papers co-authored together Peter McMullen links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20085
2 200424
3
Polytope algebras, tensor weights and piecewise polynomials
19971
4
Isometry covariant valuations on convex bodies
199716
5 19947
6
Separation in the polytope algebra.
19936
7 19939
8 19915
9 199028
10 19873
11 198538
12 198425
13 197611
14 197612
15 197531
16 197146
17
Convex polytopes and the upper bound conjecture
1971231
18 197144
19 19706
20 196832

About Peter McMullen

Peter McMullen is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology, Computer Graphics and Computer-Aided Design, Applied Mathematics and Algebra and Number Theory, having authored 115 papers that have together received 2.9k indexed citations. Recurring topics across this work include Mathematics and Applications (36 papers), Point processes and geometric inequalities (34 papers), Advanced Combinatorial Mathematics (32 papers), graph theory and CDMA systems (28 papers), Computational Geometry and Mesh Generation (20 papers), Finite Group Theory Research (19 papers), Quasicrystal Structures and Properties (9 papers) and Geometric and Algebraic Topology (9 papers). The work is most often cited by research in Discrete Mathematics and Combinatorics (1.3k citations), Computer Graphics and Computer-Aided Design (554 citations), Geometry and Topology (1.0k citations), Algebra and Number Theory (416 citations) and Applied Mathematics (753 citations). Peter McMullen has collaborated with scholars based in United Kingdom, United States and Australia. Frequent co-authors include Egon Schulte, G. C. Shephard, J. E. Reeve, Alan Ball, U. Betke, David W. Walkup, Rolf Schneider, Asia Ivić Weiss, Richard J. Gardner and J. M. Wills. Their work appears in journals such as Mathematika, Discrete & Computational Geometry, Bulletin of the London Mathematical Society, Israel Journal of Mathematics and Geometriae Dedicata.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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