Publisher: Springer; Softcover reprint of the original 1st ed. 1999 edition (December 31, 2013)
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Combinatorics as a department of arithmetic experiences the humanities of counting. Enumeration occupies the root of combinatorics with a wide variety of purposes not just in arithmetic itself but additionally in lots of different disciplines. it's too large a role to put in writing a booklet to teach the deep improvement in each nook from this element. This monograph is meant to supply a unified concept for these on the topic of the enumeration of maps. For enumerating maps the very first thing we need to be aware of is the sym metry of a map. Or in different phrases, we need to recognize its automorphism crew. ordinarily, this is often an enticing, advanced, and hard challenge. in an effort to do that, the 1st challenge we meet is the way to make a map thought of with no symmetry. because the starting of sixties while Tutte discovered a manner of rooting on a map, the matter has been solved. This types the root of the enumerative concept of maps. once the matter with out contemplating the symmetry is solved for one form of map, the overall challenge with symmetry can continually, in precept, be solved from what now we have recognized concerning the automorphism of a polyhedron, a synonym for a map, which are made up our minds successfully in keeping with one other monograph of the current writer [Liu58].
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