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The Graph Isomorphism Algorithm
We present a new polynomial-time algorithm for determining whether two given graphs are isomorphic or not. We prove that the algorithm is necessary and sufficient for solving the Graph Isomorphism Problem in polynomial-time, thus showing that the Graph Isomorphism Problem is in P. The semiotic theory for the recognition of graph structure is used to define a canonical form of the sign matrix of a graph. We prove that the canonical form of the sign matrix is uniquely identifiable in polynomial-time for isomorphic graphs. The algorithm is demonstrated by solving the Graph Isomorphism Problem for many of the hardest known examples. We implement the algorithm in C++ and provide a demonstration program for Microsoft Windows.
Graph Theory
This text offers the most comprehensive and up-to-date presentation available on the fundamental topics in graph theory. It develops a thorough understanding of the structure of graphs, the techniques used to analyze problems in graph theory and the uses of graph theoretical algorithms in mathematics, engineering and computer science. There are many new topics in this book that have not appeared before in print: new proofs of various classical theorems, signed degree sequences, criteria for graphical sequences, eccentric sequences, matching and decomposition of planar graphs into trees. Scores in digraphs appear for the first time and include new results due to Pirzada. The climax of the book is a new proof of the famous four colour theorem due to Dharwadker.
Self Portrait in Green
'NDiaye is a hypnotic storyteller with an unflinching understanding of the rock-bottom reality of most people's life.' New York Times ' One of France's most exciting prose stylists.' The Guardian. Obsessed by her encounters with the mysterious green women, and haunted by the Garonne River, a nameless narrator seeks them out in La Roele, Paris, Marseille, and Ouagadougou. Each encounter reveals different aspects of the women; real or imagined, dead or alive, seductive or suicidal, driving the narrator deeper into her obsession, in this unsettling exploration of identity, memory and paranoia. Self Portrait in Green is the multi-prize winning, Marie NDiaye's brilliant subversion of the memoir. Written in diary entries, with lyrical prose and dreamlike imagery, we start with and return to the river, which mirrors the narrative by posing more questions than it answers.
The Last Children of Tokyo
Yoshiro thinks he might never die. A hundred years old and counting, he is one of Japan's many 'old-elderly'; men and women who remember a time before the air and the sea were poisoned, before terrible catastrophe promted Japan to shut itself off from the rest of the world. He may live for decades yet, but he knows his beloved great-grandson - born frail and prone to sickness - might not survive to adulthood. Day after day, it takes all of Yoshiro's sagacity to keep Mumei alive. As hopes for Japan's youngest generation fade, a secretive organisation embarks on an audacious plan to find a cure - might Yoshiro's great-grandson be the key to saving the last children of Tokyo?
The Brothers
Introducing a major new voice in Brazilian letters. Set among a Lebanese immigrant community in the Brazilian port of Manaus, The Brothers is the story of identical twins, Yaqub and Omar, whose mutual jealousy is offset only by their love for their mother. But it is Omar who is the object of Zana's Jocasta-like passion, while her husband, Halim, feels her slipping away from him, as their beautiful daughter, RGnia, makes a tragic claim on her brothers' affection. Vivid, exotic, and lushly atmospheric, The Brothers is the story of a family's disintegration, of a changing city and the culture clash between the native-born inhabitants and a new immigrant group, and of the future the next generation will make from the ruins.
Killing the Water
‘You want to run off and join the Mukti Bahini, is that what you’re telling me? Her face turned grim. I’m not sure. I just want to be contributing something.’ War-torn 1971, Mani, seventeen, is talking to his mother. They have taken refuge on an island at the mouth of the Bay of Bengal, as their people fight to turn East Pakistan into Bangladesh. His father and brother have disappeared. What should Moni do? Mahmud Rahman’s stories journey from a remote Bengali village in the 1930s, at a time when George VI was King Emperor, to Detroit in the 1980s, where a Bangladeshi ex-soldier tussles with his ghosts while flirting with a singer in a blues club. Generous and empathetic in its exploration, Rahman’s lambent imagination extends from an interrogation in a small-town police station by the Jamuna river to a romantic encounter in a Dominican Laundromat in Rhode Island. Each of Rahman’s vivid stories says something revealing and memorable about the effects of war, migration and displacement, as new lives play out against altered worlds ‘back home’. Sensitive, perceptive, and deeply human, Killing the Water is a remarkable debut.
