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008 161019s2016 gw |||| o |||| 0|eng
020 _a9783319319407
020 _a9783319811598
041 _aEnglish
072 7 _aMAT013000
_2bisacsh
072 7 _aPBV
_2bicssc
072 7 _aPBV
_2thema
082 0 4 _a511.5
_223
_bGER
245 0 0 _aGraph Theory :
_bFavorite Conjectures and Open Problems - 1 /
_cedited by Ralucca Gera, Stephen Hedetniemi, Craig Larson.
250 _a1st ed. 2016.
260 _aSwitzerland :
_bSpringer,
_c2016.
300 _a1 online resource (XII, 291 pages 114 illustrations, 24 illustrations in color.)
490 1 _aProblem Books in Mathematics,
_x0941-3502
505 0 _aHighly Irregular (G. Chartrand) -- Hamiltonian Extension (P. Zhang) -- On Some Open Questions for Ramsey and Folkman Numbers (S. Radziszowski and X. Xu) -- All my favorite conjectures are critical(T. Haynes) -- The local representation of graph conjecture(E. Scheinerman) -- Some of My Favorite Coloring Problems for Graphs and Digraphs (J. Gimble) -- My Top 10 Favorite Conjectures and Open Problems(S. Hedetniemi) -- Chvátal's t0-tough conjecture (L. Lesniak) -- What do Trees and Hypercubes have in Common (H. Mulder) -- Two chromatic conjectures: one for vertices, one for edges (M. Kayll) -- Some Conjectures and Questions in Chromatic Topological Graph Theory (J. Hutchinson) -- Turan's Brick factory problem (L. Szekely). -It is all labeling (P. Slater) -- My Favorite Domination Conjectures (M. Henning) -- Circuit Double Covers of Graphs (C. Zhang).
520 _aThis is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history, evolution, and techniques used to solve the authors' favorite conjectures and open problems, enhancing the reader's overall comprehension and enthusiasm. The editors were inspired to create these volumes by the popular and well attended special sessions, entitled "My Favorite Graph Theory Conjectures," which were held at the winter AMS/MAA Joint Meeting in Boston (January, 2012), the SIAM Conference on Discrete Mathematics in Halifax (June,2012) and the winter AMS/MAA Joint meeting in Baltimore(January, 2014). In an effort to aid in the creation and dissemination of open problems, which is crucial to the growth and development of a field, the editors requested the speakers, as well as notable experts in graph theory, to contribute to these volumes.
650 0 _aAlgebra.
650 0 _aCombinatorics.
650 0 _aGraph theory.
650 0 _aHistory.
650 0 _aMathematics.
650 0 _aMatrix theory.
650 1 4 _aGraph Theory.
650 2 4 _aCombinatorics.
650 2 4 _aHistory of Mathematical Sciences.
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
700 1 _aGera, Ralucca,
700 1 _aHedetniemi, Stephen,
700 1 _aLarson, Craig,
700 1 _eeditor.
700 1 _eeditor.
700 1 _eeditor.
776 0 8 _iPrint version:
_tGraph theory.
_z9783319319384
_w(DLC) 2016943559
776 0 8 _iPrinted edition:
_z9783319319384
776 0 8 _iPrinted edition:
_z9783319319391
776 0 8 _iPrinted edition:
_z9783319811598
830 0 _aProblem Books in Mathematics,
906 _a0
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_corigres
_du
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942 _2ddc
_cBOOKS
999 _c42924
_d42924