Yahya Ould Hamidoune's mathematical journey: A critical review of his work

We present the mathematical work of Yahya Ould Hamidoune, emphasizing his main achievements, notably in graph theory and additive combinatorics.

[1]  A. Plagne,et al.  A new critical pair theorem applied to sum-free sets in Abelian groups , 2004 .

[2]  Yahya Ould Hamidoune,et al.  An Application of Connectivity Theory in Graphs to Factorizations of Elements in Groups , 1981, Eur. J. Comb..

[3]  Yahya Ould Hamidoune,et al.  On Vosperian and Superconnected Vertex-Transitive Digraphs , 2013, Graphs Comb..

[4]  Y. O. Hamidoune.  On Minkowski product size: The Vosper's property , 2010, 1004.3010.

[5]  Yahya Ould Hamidoune,et al.  On Some Subgroup Chains Related to Kneser's Theorem , 2007, 0704.0382.

[7]  Y. O. Hamidoune.  The global isoperimetric methodology applied to Kneser's Theorem , 2007, 0708.2191.

[8]  Yahya Ould Hamidoune,et al.  Sur les quasi-noyaux d'un graphe , 1987, Discret. Math..

[9]  Yahya Ould Hamidoune.  A Weighted Generalization of Gao's n + D - 1 Theorem , 2008, Comb. Probab. Comput..

[10]  Yahya Ould Hamidoune.  Connectivity of Transitive Digraphs and a Combinatorial Property of Finite Groups , 1980 .

[11]  Yahya Ould Hamidoune.  On the numbers of independent k-sets in a claw free graph , 1990, J. Comb. Theory, Ser. B.

[12]  Yahya Ould Hamidoune,et al.  A Lower Bound for the Size of a Minkowski Sum of Dilates , 2011, Comb. Probab. Comput..

[13]  Yahya Ould Hamidoune,et al.  On the independence numbers of a matroid , 1989, J. Comb. Theory, Ser. B.

[14]  Yahya Ould Hamidoune.  Adding Distinct Congruence Classes , 1998, Comb. Probab. Comput..

[15]  Yahya Ould Hamidoune,et al.  Quelques problèmes de connexité dans les graphes orientés , 1981, J. Comb. Theory, Ser. B.

[16]  Weidong Gao,et al.  On additive bases , 1999 .

[17]  Yahya Ould Hamidoune.  A note on the girth of digraphs , 1982, Comb..

[18]  Yahya Ould Hamidoune,et al.  Local edge-connectivity in regular bipartite graphs , 1988, J. Comb. Theory, Ser. B.

[19]  Yahya Ould Hamidoune,et al.  Zero-sumfree sequences in cyclic groups and some arithmetical application , 2002 .

[21]  Yahya Ould Hamidoune.  A note on the addition of residues , 1990, Graphs Comb..

[22]  Yahya Ould Hamidoune.  On weighted sums in abelian groups , 1996, Discret. Math..

[23]  Yahya Ould Hamidoune.  Factorisations courtes dans un groupe fini , 1989, Discret. Appl. Math..

[24]  Charles Delorme,et al.  On products of sets in groups , 1994, Graphs Comb..

[25]  Alain Plagne.  Yahya ould Hamidoune, grand Mauritanien, homme singulier, mathématicien d'exception , 2011 .

[26]  Yahya Ould Hamidoune,et al.  Vosperian and superconnected Abelian Cayley digraphs , 1991, Graphs Comb..

[27]  Yahya Ould Hamidoune.  On the Subsets Product in Finite Groups , 1991, Eur. J. Comb..

[28]  Yahya Ould Hamidoune,et al.  On small cuts separating an abelian Cayley graph into two equal parts , 2005, Mathematical systems theory.

[29]  Yahya Ould Hamidoune,et al.  Minimum order of loop networks of given degree and girth , 1995, Graphs Comb..

[30]  Boris Bukh.  Sums of Dilates , 2008, Comb. Probab. Comput..

[31]  Alfred Geroldinger,et al.  Combinatorial Number Theory and Additive Group Theory , 2009 .

[32]  Yahya Ould Hamidoune.  On multiply critically h-connected graphs , 1981, J. Comb. Theory, Ser. B.

[33]  Yahya Ould Hamidoune,et al.  On a Pursuit Game on Cayley Digraphs , 1987, Eur. J. Comb..

[34]  Yahya Ould Hamidoune,et al.  On Sets With A Small Subset Sum , 1999, Comb. Probab. Comput..

[35]  Yahya Ould Hamidoune,et al.  2 7 Ju l 2 00 5 On the critical pair theory in Z / p Z , 2008 .

[36]  Øystein J. Rødseth,et al.  An inverse theorem mod p , 2000 .

[37]  Yahya Ould Hamidoune,et al.  On Isoperimetric Connectivity in Vertex-Transitive Graphs , 2000, SIAM J. Discret. Math..

[38]  Yahya Ould Hamidoune,et al.  On quasi-kernels of a graphs , 1987 .

[39]  Yahya Ould Hamidoune,et al.  On complete subsets of the cyclic group , 2007, J. Comb. Theory, Ser. A.

[40]  Yahya Ould Hamidoune.  On Weighted Sequence Sums , 1995, Comb. Probab. Comput..

[41]  Yahya Ould Hamidoune,et al.  The Probability of Splitters in a List , 1989, J. Algorithms.

[42]  Yahya Ould Hamidoune,et al.  The Connectivity of Hierarchical Cayley Digraphs , 1992, Discret. Appl. Math..

[43]  Yahya Ould Hamidoune,et al.  Vertex‐transitive graphs that remain connected after failure of a vertex and its neighbors , 2011, J. Graph Theory.

[44]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[45]  Ramírez Alfonsin,et al.  The diophantine frobenius problem , 2005 .

[46]  Yahya Ould Hamidoune.  Sur la separation dans les graphes de Cayley abeliens , 1985, Discret. Math..

[47]  Yahya Ould Hamidoune,et al.  On the decomposition of a minimally strongly h-connected digraph into h+1 acircuitic sub-graphs , 1980, Discret. Math..

[48]  Y. O. Hamidoune.  On Some Graphic Aspects of Addition Theorems , 1990 .

[49]  Yahya Ould Hamidoune,et al.  Connectivite des graphes de cayley abeliens sans K4 , 1990, Discret. Math..

[50]  Yahya Ould Hamidoune,et al.  Two inverse results , 2010, Comb..

[51]  Yahya Ould Hamidoune,et al.  A solution to the Box Game , 1987, Discret. Math..

[52]  Yahya Ould Hamidoune.  A generalization of an addition theorem of shatrowsky , 1992, Eur. J. Comb..

[53]  Y. O. Hamidoune.  On the elements of an infinite Cayley graph , 1989 .

[54]  Alain Plagne,et al.  Large restricted sumsets in general Abelian groups , 2013, Eur. J. Comb..

[55]  Yahya Ould Hamidoune,et al.  On Subsets with Small Product in Torsion-Free Groups , 1998, Comb..

[56]  Yahya Ould Hamidoune,et al.  On the Connectivity of Cayley Digraphs , 1984, Eur. J. Comb..

[57]  Yahya Ould Hamidoune.  Sur les atomes d'un graphe de Cayley infini , 1989, Discret. Math..

[58]  Y. O. Hamidoune,et al.  Distinct Matroid Base Weights and Additive Theory , 2009, 0903.0642.

[59]  Yahya Ould Hamidoune,et al.  A note on minimal directed graphs with given girth , 1987, J. Comb. Theory, Ser. B.

[60]  Oscar Ordaz,et al.  On a Combinatorial Theorem of Erdös, Ginzburg and Ziv , 1998, Comb. Probab. Comput..

[61]  Yahya Ould Hamidoune.  Some results in additive number theory I: The critical pair theory , 2000 .

[62]  Y. O. Hamidoune.  A Structure Theory for Small Sum Subsets , 2008, 0811.3061.

[63]  Yahya Ould Hamidoune,et al.  Extensions of the Scherk-Kemperman Theorem , 2010, J. Comb. Theory, Ser. A.

[64]  Yahya Ould Hamidoune.  A property of a-fragments of a digraph , 1980, Discret. Math..

[65]  Simon Griffiths,et al.  k-Sums in Abelian Groups , 2012, Comb. Probab. Comput..

[66]  Yahya Ould Hamidoune,et al.  The directed Shannon switching game and the one-way game , 1985 .

[67]  Yahya Ould Hamidoune.  An Isoperimetric Method in Additive Theory , 1996 .

[68]  Yahya Ould Hamidoune,et al.  On the critical pair theory in abelian groups: Beyond Chowla’s Theorem , 2008, Comb..

[69]  Yahya Ould Hamidoune,et al.  On zero-free subset sums , 1996 .

[70]  Yahya Ould Hamidoune.  The minimum order of a cayley graph with given degree and diameter , 1993, Networks.

[71]  J. A. Dias da Silva,et al.  Cyclic Spaces for Grassmann Derivatives and Additive Theory , 1994 .

[72]  Yahya Ould Hamidoune.  Subsequence Sums , 2003, Comb. Probab. Comput..

[73]  Yahya Ould Hamidoune.  On Iterated Image Size for Point-Symmetric Relations , 2008, Comb. Probab. Comput..

[74]  Y. O. Hamidoune,et al.  The Diophantine Frobenius Problem , 2006 .

[75]  Yahya Ould Hamidoune,et al.  An Isoperimetric Problem in Cayley Graphs , 1999, Theory of Computing Systems.

[76]  Yahya Ould Hamidoune,et al.  On Subsequence Weighted Products , 2005, Comb. Probab. Comput..

[77]  Yahya Ould Hamidoune,et al.  Vertex Transitivity and Super Line Connectedness , 1990, SIAM J. Discret. Math..

[78]  Yahya Ould Hamidoune,et al.  Representing a planar graph by vertical lines joining different levels , 1983, Discret. Math..

[79]  Yahya Ould Hamidoune,et al.  On Restricted Sums , 2000, Comb. Probab. Comput..

[80]  Yahya Ould Hamidoune,et al.  Small cutsets in quasiminimal Cayley graphs , 1996, Discret. Math..

[81]  Yahya Ould Hamidoune,et al.  A solution to the Misère Shannon switching Game , 1988, Discret. Math..

[82]  Alain Plagne.  Yahya Ould Hamidoune the Mauritanian mathematician 1948 - 11 March 2011 , 2011, Comb. Probab. Comput..

[83]  Y. O. Hamidoune,et al.  A note on Pollard's Theorem , 2008, 0804.2593.

[84]  Yahya Ould Hamidoune,et al.  Some additive applications of the isopermetric approach , 2007, 0706.0635.

[85]  Yahya Ould Hamidoune,et al.  A note on the minimal polynomial of the Kronecker sum of two linear operators , 1990 .

[86]  Yahya Ould Hamidoune,et al.  Directed switching games II The Arborescence Game , 1997, Discret. Math..

[87]  Y. O. Hamidoune.  Additive Group Theory Applied to Network Topology , 1996 .

[88]  Yahya Ould Hamidoune.  Sur les parcours hamiltoniens dans les graphes orientes , 1979, Discret. Math..

[89]  Yahya Ould Hamidoune.  On a subgroup contained in some words with a bounded length , 1992, Discret. Math..

[90]  Weidong Gao,et al.  Zero Sums in Abelian Groups , 1998, Comb. Probab. Comput..

[91]  Yahya Ould Hamidoune.  Subsets with Small Sums in Abelian Groups' I: the Vosper Property , 1997, Eur. J. Comb..

[92]  Yahya Ould Hamidoune.  On a conjecture of entringer and slater , 1982, Discret. Math..

[93]  Yahya Ould Hamidoune,et al.  Subset sums in abelian groups , 2011, Eur. J. Comb..

[94]  Y. O. Hamidoune,et al.  Distinct Lengths Modular Zero-sum Subsequences: A Proof of Graham's Conjecture , 2009, 0902.4758.

[95]  Yahya Ould Hamidoune.  On critically h-connected simple graphs , 1980, Discret. Math..

[96]  Yahya Ould Hamidoune,et al.  Directed Switching Games on graphs and matroids , 1986, J. Comb. Theory, Ser. B.

[97]  Yahya Ould Hamidoune.  Connectivity of Abelian Cayley graph without , 1990 .

[98]  Weidong Gao,et al.  Covering a Finite Abelian Group by Subset Sums , 2003, Comb..

[99]  Yahya Ould Hamidoune.  Counting Certain Pairings in Arbitrary Groups , 2011, Comb. Probab. Comput..

[100]  Yahya Ould Hamidoune.  Subsets with a Small Sum II: the Critical Pair Problem , 2000, Eur. J. Comb..