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010   $a3-319-20394-0
024 7 $a10.1007/978-3-319-20394-2
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035   $a(EBL)3563293
035   $a(SSID)ssj0001546682
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035   $a(PQKBTitleCode)TC0001546682
035   $a(PQKBWorkID)14796101
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035   $a(DE-He213)978-3-319-20394-2
035   $a(MiAaPQ)EBC3563293
035   $a(PPN)188458395
035   $a(EXLCZ)993710000000463320
100   $a20150810d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aColor-induced graph colorings /$fby Ping Zhang
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (130 p.)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $aDescription based upon print version of record.
311 08$a3-319-20393-2 
320   $aIncludes bibliographical references and index.
327   $a1. Introduction -- 2. The Irregularity Strength of a Graph -- 3. Modular Sum-Defined Irregular Colorings -- 4. Set-Defined Irregular Colorings -- 5. Multiset-Defined Irregular Colorings -- 6. Sum-Defined Neighbor-Distinguishing Colorings -- 7. Modular Sum-Defined Neighbor-Distinguishing Colorings -- 8. Strong Edge Colorings of Graphs -- 9. Sum-Defined Chromatic Indices -- References -- Index.
330   $aA comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring concepts described in this book depend not only on the property required of the initial edge coloring and the kind of objects serving as colors, but also on the property demanded of the vertex coloring produced. For each edge coloring introduced, background for the concept is provided, followed by a presentation of results and open questions dealing with this topic. While the edge colorings discussed can be either proper or unrestricted, the resulting vertex colorings are either proper colorings or rainbow colorings. This gives rise to a discussion of irregular colorings, strong colorings, modular colorings, edge-graceful colorings, twin edge colorings and binomial colorings. Since many of the concepts described in this book are relatively recent, the audience for this book is primarily mathematicians interested in learning some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aGraph theory
606   $aCombinatorial analysis
606   $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020
606   $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010
615  0$aGraph theory.
615  0$aCombinatorial analysis.
615 14$aGraph Theory.
615 24$aCombinatorics.
676   $a511.56
700   $aZhang$b Ping$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477502
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299784103321
996   $aColor-Induced Graph Colorings$92440564
997   $aUNINA