Bruce Sagan's Slides
These slides are ordered alphabetically by title.
If you have trouble downloading any of these slides
and wish a hard copy, then please email me at
sagan@math.msu.edu
-
Of antipodes and involutions, of cabbages and kings
pdf
-
Bijective proofs of shuffle compatibility
pdf
-
Two binomial coefficient analogues,
pdf
-
Bogotá lectures: Partially Ordered Sets and their Möbius Functions,
- The Möbius Inversion Theorem
- Graph coloring
- Topology of posets
- Factoring the characteristic polynomial
- Exercises
- References
-
Chromatic symmetric functions and change of basis,
pdf
-
Chromatic symmetric functions and sign-reversing involutions,
pdf
-
Combinatorial and colorful proofs of cyclic sieving phenomena,
pdf
-
Combinatorial and algebraic approaches to Lucas analogues
pdf
-
Combinatorial interpretations of Lucas analogues
pdf
-
Congruences for combinatorial sequences,
dvi,
ps,
pdf.
-
Counting permutations by congruence class of major index,
pdf.
-
Cyclic shuffle compatibility,
pdf
-
The cyclic sieving phenomenon - an introduction,
Korean lecture (pdf),
BCC lecture (pdf).
-
Descent and peak polynomials,
pdf
-
Difference d ascent sequences,
pdf
-
Discrete Morse Theory and generalized factor order,
pdf
-
Distance preserving graphs,
pdf.
-
Distance regular graphs and unimodality,
dvi,
ps,
pdf.
-
Distributive lattices for proving log-concavity and -convexity,
pdf
-
Factoring the characteristic polynomial,
pdf.
-
Factoring rook polynomials,
pdf.
-
The fractal nature of the Fibonomial triangle,
pdf.
-
Fun with binomial coefficients,
pdf.
-
Graph coloring and symmetric functions in noncommuting varibles,
dvi,
ps,
pdf.
-
The incidence algebra of a composition poset,
pdf.
-
Increasing spanning forests,
pdf.
-
Infinite log-concavity,
pdf.
-
The k-consecutive arrangements,
ps,
pdf.
-
Kalamazoo lectures.
- Factoring rook polynomials
- Permutation patterns and statistics
- Introduction to Möbius inversion over posets
-
Layered permutations and rational generating functions,
pdf.
-
Longest increasing subsequences and log concavity,
pdf
-
Mahonian pairs,
pdf
-
Maximal independent sets in graphs with at most r cycles,
dvi,
ps,
pdf
-
The Möbius functions of generalized subword order,
pdf.
-
Möbius functions for embedding orders,
dvi,
ps,
pdf.
-
Möbius functions, an introduction (Winnipeg lecture 1),
dvi,
ps,
pdf;
Möbius functions of lattices (Winnipeg lecture 2),
dvi,
ps,
pdf.
-
Möbius functions of posets (Lisbon lectures).
- Lecture I: Introduction to partially ordered
sets
- Lecture II: Möbius inversion
- Lecture III: Topology of posets
- Lecture IV: Why the characteristic polynomial factors
- Lecture V: GCD matrices
-
Monomial bases for NBC complexes,
dvi,
ps,
pdf.
-
Monotonic sequence games,
pdf.
-
Open problems for Catalan number analogues,
pdf.
-
Pattern avoidance and quasisymmetric functions,
pdf.
-
Pattern-avoiding polytopes and Bruhat orders,
I pdf, II pdf.
-
Patterns in set partitions,
dvi,
ps,
pdf.
-
Patterns and statistics,
pdf.
-
Permutation patterns and statistics,
pdf.
-
Probabilistic proofs of hooklength formulas,
pdf.
-
The protean chromatic polynomial,
pdf.
-
On a rank unimodality conjecture of Morier-Genoud and Ovsienko,
pdf.
-
Rationality, irrationality, and Wilf equivalence in generalized factor order,
pdf.
-
Representations and symmetric functions (MSRI lectures),
dvi,
ps,
pdf.
-
Rooted partitions and number-theoretic functions,
pdf.
-
Rowmotion on fences,
pdf.
-
Sign-reversing involutions and the chromatic polynomial,
pdf.
-
Stalking the wild Fibonomial,
pdf.
-
Stirling numbers for complex reflection groups,
pdf.
-
Stirling numbers in type B,
pdf.
-
Symmetric functions in noncommuting variables,
dvi,
ps,
pdf.
-
Topological properties of active orders for matroid,
dvi,
ps,
pdf.
-
Unimodality and chain decompositions,
pdf.