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" Topological graph theory / "
Jonathan L. Gross, Thomas W. Tucker.
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BL
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| Record Number
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629851
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| Doc. No
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dltt
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| Main Entry
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Gross, Jonathan L.
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| Title & Author
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Topological graph theory /\ Jonathan L. Gross, Thomas W. Tucker.
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| Publication Statement
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New York :: Wiley,, c1987.
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| Series Statement
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Wiley-interscience series in discrete mathematics and optimization
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| Page. NO
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xv, 351 p. :: ill. ;; 25 cm.
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| ISBN
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0471049263
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: 9780471049265
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| Notes
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"A Wiley-Interscience publication."
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| Bibliographies/Indexes
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Includes bibliographical references (p. 333-340) and index.
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| Contents
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1. Representation of graphs -- Some important classes of graphs -- New graphs from old -- Surfaces and imbeddings -- More graph-theoretic background -- Planarity -- 2. Voltage graphs and covering spaces -- Ordinary voltages -- Which graphs are derivable with ordinary voltages? -- Irregular covering graphs -- Permutation voltage graphs -- Subgroups of the voltage group -- 3. Surfaces and graph imbeddings -- Surfaces and simplicial complexes -- Band decompositions and graph imbeddings -- The classification of surfaces -- The imbedding distribution of a graph -- Algorithms and formulas for minimum imbeddings -- 4. Imbedded voltage graphs and current graphs -- The derived imbedding -- Branched coverings of surfaces -- Regular branched coverings and group actions -- Current graphs -- Voltage-current duality -- 5. Map colorings -- The Heawood upper bound -- Quotients of complete-graph imbeddings and some variations -- The regular nonorientable cases -- Additional adjacencies for irregular cases -- 6. The genus of a group -- The genus of abelian groups -- The symmetric genus -- Groups of small symmetric genus -- Groups of small genus.
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| Subject
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Topological graph theory.
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Topology.
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| LC Classification
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QA166.G76 1987
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| Added Entry
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Tucker, Thomas W.
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