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Graph Theory

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TLDR
Gaph Teory Fourth Edition is standard textbook of modern graph theory which covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each chapter by one or two deeper results.
Abstract
Gaph Teory Fourth Edition Th is standard textbook of modern graph theory, now in its fourth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each fi eld by one or two deeper results, again with proofs given in full detail.

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Journal ArticleDOI

Matrix modelling of small-scale trigeneration systems and application to operational optimization

TL;DR: In this article, the authors present a comprehensive input-output matrix approach aimed at modelling small-scale trigeneration equipment taking into account the interactions among plant components and external energy networks.
Journal ArticleDOI

Width Parameters Beyond Tree-width and their Applications

TL;DR: It is demonstrated how ‘width’ parameters of graphs and generalized structures, such as matroids or hypergraphs, can be used to improve the design of parameterized algorithms and the structural analysis in other applications on an abstract level.
Proceedings ArticleDOI

On nash equilibria for a network creation game

TL;DR: In this article, it was shown that for any positive integer n 0, there exists a graph built by n ≥ n0 players which contains cycles and forms a non-transient Nash equilibrium, for any α with 1.
Journal ArticleDOI

A novel methodology of design for Additive Manufacturing applied to Additive Laser Manufacturing process

TL;DR: In this paper, a new numerical chain based on a new design for additive manufacturing (DFAM) methodology is proposed, the new DFAM methodology being detailed; both design requirements and manufacturing specificities are taken into account.
Journal ArticleDOI

On the Problem of Reconstructing an Unknown Topology via Locality Properties of the Wiener Filter

TL;DR: A methodology for identifying the interrelatedness structure of dynamically related time series data is presented that also allows for the presence of loops in the connectivity structure and it is shown that when the linear dynamic graph is allowed to admit non-causal weights, then the links structure can be recovered with the possibility of identifying spurious connections.
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