Topics in Combinatorics and Graph Theory

The book covers all the basics of both the topics. The topics are sequenced in such a manner that there is a flow in understanding the advances. The first and second chapters cover all the basic methods and tools for counting. Chapter 3 is on binomial theorem and binomial identities. Topics such as...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Rama, R. (Awdur)
Awdur Corfforaethol: SpringerLink (Online service)
Fformat: Electronig eLyfr
Iaith:Saesneg
Cyhoeddwyd: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Rhifyn:1st ed. 2025.
Pynciau:
Mynediad Ar-lein:https://doi.org/10.1007/978-3-031-74252-1
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
Tabl Cynhwysion:
  • Basics of Counting
  • Induction and Pigeon Hole Principle
  • Binomial Theorem and Binomial Identities Partitions
  • Permutations
  • Combinations and Cycles
  • Generating Functions
  • Recurrence Relations
  • Inclusion Exclusion Principle
  • Partial Order and Lattices
  • Polya’s Theory
  • More on Counting
  • Discrete Probability
  • Basic Concepts
  • Paths Connectedness
  • Trees
  • Connectivity
  • Eulerian and Hamiltonian Graphs
  • Planar Graphs
  • Independent Sets
  • Coverings and Matchings
  • Graph Coloring
  • Ramsey Numbers and Ramsey Graphs
  • Spectral Properties of Graphs
  • Directed Graphs and Graph Algorithms.