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511
BAL/I
Balakrishnan, V. K.,
Introductory discrete mathematics /
V.K. Balakrishnan.
Dover ed.
New York :
Dover Publications,
1996.
xiv, 236 p. :
ill. ;
24 cm.
Dover books on mathematics
"An unabridged, corrected republication of the work first published by Prentice Hall, Englewood Cliffs, N.J., 1991"--T.p. verso.
Includes bibliographical references (p. 219-223) and index.
Set theory and logic. Introduction to set theory ; Functions and relations ; Inductive proofs and recursive definitions --
Combinatorics. Two basic counting rules ; Permutations ; Combinations ; More on permutations and combinations ; The pigeonhole principle ; The inclusion-exclusion principle ; Summary of results in combinatorics --
Generating functions. Ordinary generating functions ; Exponential generating functions --
Recurrence relations. Homogeneous recurrence relations ; Inhomogeneous recurrence relations ; Recurrence relations and generating functions ; Analysis of algorithms --
Graphs and digraphs. Adjacency matrices and incidence matrices ; Joining in graphs ; Reaching in digraphs ; Testing connectedness ; Strong orientation of graphs --
More on graphs and digraphs. Eulerian paths and Eulerian circuits ; Coding and de Bruijn digraphs ; Hamiltonian paths and Hamiltonian cycles ; Applications of Hamiltonian cycles ; Vertex coloring and planarity of graphs --
Trees and their applications. Spanning trees ; Binary trees --
Spanning tree problems. More on spanning trees ; Kruskal's greedy algorithm ; Prim's greedy algorithm ; Comparison of the two algorithms --
Shortest path problems. Dijkstra's algorithm ; Floyd-Warshall algorithm ; Comparison of the two algorithms --
What is NP-completeness? Problems and their instances ; The size of an instance ; Algorithm to solve a problem ; The "Big Oh" or the O(·) notation ; Easy problems and difficult problems ; the Class P and the Class NP ; Polynomial transformations and NP-completeness ; Coping with hard problems.
Mathematics.
Computer science
Mathematics.
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