<P></P><P>THIS BOOK DEPICTS GRAPH LABELINGS THAT HAVE LED TO THOUGHT-PROVOKING PROBLEMS AND CONJECTURES. PROBLEMS AND CONJECTURES IN GRACEFUL LABELINGS, HARMONIOUS LABELINGS, PRIME LABELINGS, ADDITIVE LABELINGS, AND ZONAL LABELINGS ARE INTRODUCED WITH FUNDAMENTALS, EXAMPLES, AND ILLUSTRATIONS. A NEW LABELING WITH A CONNECTION TO THE FOUR COLOR THEOREM IS DESCRIBED TO AID MATHEMATICIANS TO INITIATE NEW METHODS AND TECHNIQUES TO STUDY CLASSICAL COLORING PROBLEMS FROM A NEW PERSPECTIVE. RESEARCHERS AND GRADUATE STUDENTS INTERESTED IN GRAPH LABELINGS WILL FIND THE CONCEPTS AND PROBLEMS FEATURED IN THIS BOOK VALUABLE FOR FINDING NEW AREAS OF RESEARCH.</P><P></P>
This book depicts graph labelings that have led to thought-provoking problems and conjectures. Problems and conjectures in graceful labelings, harmonious labelings, prime labelings, additive labelings, and zonal labelings are introduced with fundamentals, examples, and illustrations. A new labeling with a connection to the four color theorem is described to aid mathematicians to initiate new methods and techniques to study classical coloring problems from a new perspective. Researchers and graduate students interested in graph labelings will find the concepts and problems featured in this book valuable for finding new areas of research.