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Formal Power Series and Umbral Chromatic Polynomials of Graphs by Michael K. Butler is a nonfiction available to read on EtoBox.

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Abstract 5 Statement of Qualifications and Research 8 Acknowledgements 9 Introduction 10 1 Power Series, Differential Operators and Umbral Calculus 20 1.1 Power Series and Differential Operators .................................. 20 1.2 Umbral Calculus .......................................................... 23 2 Posets, Incidence Algebras and Umbral Chromatic Polynomials 32 2.1 Posets and Incidence Algebras . ................... 32 2.2 Umbral Chromatic Polynomials 38 2.3 Examples .................................. 42 3 Colouring Chains and Multichains 48 3.1 Colour Partition Chains and Multichains 48 3.2 Assignment of Type Monomials ............................ 50 3.3 Examples of Colour Partition Chains and Multichains . . . . . . . . . 52 3.4 Colouring Chains and Multichains .......................... 57 4 Composition of A-Operators 58 4.1 The Umbra 0o y / .......................................................... 58 4.2 The Umbral Chromatic Polynomial ^^(G ;*) ................................ 59 4.3 The Umbra i ........................................ 67 4.4 The Umbra 0 o ^ o * * * o 0 . . . ........................................................ 68 4.5 Examples .............

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Author

Michael K. Butler

Published

1992

Language

EN

Category

nonfiction

Subjects

Mathematics, Stem