Graph Theory, Combinatorics, Algorithms and Applications

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Product Details

  • ISBN-13: 9789810218553
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 1/28/1994
  • Pages: 500

Table of Contents

Super Line Graphs and Their Properties 1
On Gallai-Type Min-Max Inequalities 7
The Total Colouring of Some Graphs 17
Clique Partitions of Split Graphs 21
Half Essentially Disconnected Coronoids 31
Further Results on Minimal Broadcast Networks 47
Jackson's Conjecture on Eulerian Subgraphs 53
Lower Bound of Long Cycles of 1-Tough Graphs with Large Degree Sums 59
Existence of Spanning Eulerian Subgraphs in Triangle-Free Graphs 61
Complete Mappings of Linear Groups 69
Automorphism Groups of Cayley Digraphs 77
Chromatic Index of Critical Graphs of Order 11 83
Current Results and Problems on Factors of Graphs 93
Shedding Some Light on Shadows 99
Critical Sets and Critical Partial Latin Squares 111
Multipartite Tournaments having Exactly Four 4-Kings 125
Bandwidth for Graphs with Vertices Merged 137
On Edge-Hamiltonian Property of Cayley Graphs 147
Hamilton Property on 2-Order Neighbour Connected Claw-Free Graphs 151
Long Cycles in 1-Tough Graphs of Even Order 161
On Hamiltonian Line Graphs 177
A Sufficient Condition for 1-Tough Graphs to be Hamiltonian 183
The Connectivity of Path Graphs 187
On k-Critically h-Edge-Connected Graphs 193
Pancyclicity in Hamiltonian Line Graphs 205
A Kind of Infinite Sequence of Graceful Graph [actual symbol not reproducible] 215
Two Dimensional Bandwidth Problem 223
The Neighborhood Condition for Pancyclic Graphs 233
The Relation between the Total Chromatic Number and the Cycle Rank of a Graph 241
Formulas on the Number of Spanning Trees 247
Distance, Neighborhood Unions and Hamiltonian Properties in Graphs 255
Some New Theorems on Hasratian-Khachatrian's Condition for Hamiltonian Properties 269
Minimum 3-cut of a Planar Graph in O(n[superscript 4]) Time 275
Pancyclism in some K[subscript 1,3]-Free Graphs 281
Some Results for Cycle Covers of Graphs 287
On the Connectivity of Cayley Digraphs 295
Connectivities of Cartesian Products of Graphs 301
On the Chromatic Coefficients of a Graph and Chromatic Uniqueness of Certain n-Partition Graphs 307
Long Dominating Paths in Graphs 317
On Some Properties of Contraction-Critical Graphs 329
The Independent Subsets' Neighborhood and Minimum Degrees of k-Covered and k-Deleted Graphs 339
On Harmoniousness and Complete Mappings Decomposable into Disjoint Cycles of the Same Length 347
On Arithmetic Numbering of Cycles 355
Some Results on Arboricity Parameters of the Nordhaus-Gaddum Class 363
Hamiltonian Cycles in 2-Connected Graphs 373
Combinatorial Invariance of Kempe Sets 389
Pancyclic Line Graphs 399
Isomorphic Factorization of Tensor Product of Cycles 405
Some Theorems on (g,f)-Factorizations of Graphs 411
On the Gracefulness of the Union of Two Stars and Three Stars 417
On the Gracefulness of Product Graph C[subscript 4n+2] x P[subscript 4m+3] 425
Interpolation Theorems for the f-Chromatic Index of Multigraphs 433
Characteristics of Some Coefficients of Chromatic Polynomials 439
On the Maximum Number of Edges in a Graph in which No Two Cycles have the Same Length 447
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