Sommaire du Fascicule no. 1

Packing Parameters in Graphs
p. 5
Harary Index of Product Graphs
p. 17
Products of Geodesic Graphs and the Geodetic Number of Products
p. 35
α-Labelings of a Class of Generalized Petersen Graphs
p. 43
2-Tone Colorings in Graph Products
p. 55
On Decomposing Regular Graphs Into Isomorphic Double-Stars
p. 73
The 3-Rainbow Index of a Graph
p. 81
Graphic Splitting of Cographic Matroids
p. 95
Graphs with 3-Rainbow Index n − 1 and n − 2
p. 105
Maximum Cycle Packing in Eulerian Graphs Using Local Traces
p. 121
Remarks on Dynamic Monopolies with Given Average Thresholds
p. 133
An Oriented Version of the 1-2-3 Conjecture
p. 141
Optimal Backbone Coloring of Split Graphs with Matching Backbones
p. 157
Constrained Colouring and σ-Hypergraphs
p. 171
On a Spanning k-Tree in which Specified Vertices Have Degree Less Than k
p. 191
Fractional Aspects of the Erdős-Faber-Lovász Conjecture
p. 197

Sommaire du Fascicule no. 2

On Uniquely Hamiltonian Claw-Free and Triangle-Free Graphs
p. 207
On •-Line Signed Graphs L•(S)
p. 215
(K − 1)-Kernels In Strong K-Transitive Digraphs
p. 229
A Note on the Total Detection Numbers of Cycles
p. 237
The Least Eigenvalue of Graphs whose Complements Are Uni- cyclic
p. 249
The k-Rainbow Bondage Number of a Digraph
p. 261
On k-Path Pancyclic Graphs
p. 271
Domination, Eternal Domination, and Clique Covering
p. 283
Characterizing which Powers of Hypercubes and Folded Hyper- cubes Are Divisor Graphs
p. 301
Preface
p. 313
Total Domination Multisubdivision Number of a Graph
p. 315
Improved Sufficient Conditions for Hamiltonian Properties
p. 329
Bipartition Polynomials, the Ising Model, and Domination in Graphs
p. 335
Eigenvalue Conditions for Induced Subgraphs
p. 355
Extending the MAX Algorithm for Maximum Independent Set
p. 365
Graphs with 4-Rainbow Index 3 and n − 1
p. 387

Sommaire du Fascicule no. 3

On Minimal Geodetic Domination in Graphs
p. 403
A Note on Longest Paths in Circular Arc Graphs
p. 419
Completely Independent Spanning Trees in (Partial) k-Trees
p. 427
The Median Problem on k-Partite Graphs
p. 439
Optimal Locating-Total Dominating Sets in Strips of Height 3
p. 447
Generalized Fractional Total Colorings of Graphs
p. 463
Strong ƒ-Star Factors of Graphs
p. 475
Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014
p. 483
Decomposability of Abstract and Path-Induced Convexities in Hypergraphs
p. 493
Generalized Fractional and Circular Total Colorings of Graphs
p. 517
Pancyclicity when each Cycle Must Pass Exactly k Hamilton Cycle Chords
p. 533
Chromatic Sums for Colorings Avoiding Monochromatic Subgraphs
p. 541
The Saturation Number for the Length of Degree Monotone Paths
p. 557
Worm Colorings
p. 571
A Note on Total Graphs
p. 585
Characterization of Line-Consistent Signed Graphs
p. 589
On the Hypercompetition Numbers of Hypergraphs with Maximum Degree at Most Two
p. 595

Sommaire du Fascicule no. 4

Asteroidal Quadruples in non Rooted Path Graphs
p. 603
On Unique Minimum Dominating Sets in Some Cartesian Product Graphs
p. 615
Decomposition of Complete Multigraphs Into Stars and Cycles
p. 629
Upper Bounds on the Signed Total (K, K)-Domatic Number of Graphs
p. 641
On the Signed (Total) K-Independence Number in Graphs
p. 651
On Super Edge-Antimagicness of Subdivided Stars
p. 663
Maximum Independent Sets in Direct Products of Cycles or Trees with Arbitrary Graphs
p. 675
Critical Graphs for R(P n , P m ) and the Star-Critical Ramsey Number for Paths
p. 689
Some Toughness Results in Independent Domination Critical Graphs
p. 703
Decomposition of Complete Bipartite Multigraphs Into Paths and Cycles Having k Edges
p. 715
Rainbow Tetrahedra in Cayley Graphs
p. 733
On Super (a, d)-H-Antimagic Total Covering of Star Related Graphs
p. 755
A New Characterization of Unichord-Free Graphs
p. 765
Unified Spectral Bounds on the Chromatic Number
p. 773
Domination Game Critical Graphs
p. 781
Fault Tolerant Detectors for Distinguishing Sets in Graphs
p. 797