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The main purpose of this paper is to introduce the concept of global carbon budget (GCB) as a key concept that should be introduced as a reference when countries formulate their mitigation contributions in the context of the Paris Agreement and in all the monitoring, reporting and verification processes that must be implemented according to the decisions of the Paris Summit.

A method based on carbon budget accounting is used to analyze the intended nationally determined contributions (INDCs) submitted by the 15 countries that currently head the ranking of global emissions. Moreover, these INDCs are analyzed and compared with each other. Sometimes, inadequate methodologies and a diverse level of ambition in the formulated targets are observed.

It is found that the INDCs of those 15 countries alone imply the release into the atmosphere of 84 per cent of the GCB for the period 2011-2030, and 40 per cent of the GCB available until the end of the century.

This is the first time the INDCs of the top 15 emitters are analyzed. It is also the first analysis made using the GCB approach. This paper suggests methodological changes in the way that the future NDCs might be formulated.

This paper aims to describe a new methodology for the analysis of international energy relations that enables the relationship between any given country and other countries or regions to be classified in terms of the competition (rivalry) and complementarities (affinity) between them.

The methodological approach taken rests on the composition of a new index, termed here the Energy Affinity Index, which has been defined as a function of countries' roles in international energy markets. This index therefore seeks to quantify energy rivalry or affinity between countries in terms of their energy import and export flows.

The key finding of this paper is the recognition and systematic cataloguing of countries in terms of their relationship with the region under study, namely the European Union (EU). Thus, the degree of affinity, rivalry, and irrelevance in terms of energy between the EU and third countries is distinguished. In turn, the potential that can be explored by the EU and the need to bring specific strategies to bear in each case is examined in the light of the results of the Energy Affinity Index and the specific characteristics of each country.

The main research implications derive from the concept of energy relations and their quantification. It opens up a new path in the study of energy security and competition. This is potentially of considerable interest given that energy security is a widespread concern, particularly among highly energy dependent and vulnerable countries, and in view of the current context of growing competition for resources, characterised by increasing energy demand and the exhaustion of fossil fuels.

The original contribution and the value of this study is the proposal of the Energy Affinity Index as a new concept and a metric to help understand and analyse international energy relations both quantitatively and qualitatively. As well as presenting and developing the methodology, the paper analyses the EU‐27's energy relations with third countries over the period 2000‐2008, thereby offering a new perspective on these relations.

Greece is a net importer of oil and gas and is among the most vulnerable countries of the European Union (EU) on energy supply disruptions. Furthermore, is considered a “crossroad” of existing and forthcoming infrastructure for importing energy to the EU. The purpose of this paper is the presentation of the web tool that implements the developed methodology for the quantification of socio‐economic risks of oil and gas corridors. The tool is applied to the main present and future oil and gas corridors to Greece, and the related outcomes are discussed.

A structured and coherent review on the future and present oil and natural gas (NG) corridors to Greece was elaborated, based on desk analysis and collection of the related data from national and international sources. Factor analysis was employed for the quantification of socio‐economic risks of each energy corridor. Particular emphasis was laid on the tool's design, so as to be user‐friendly, combining intuitive menus and navigation throughout the steps of the system.

The calculation of socio‐economic risks of the main oil and gas corridors to Greece provides operative and measurable concepts for supporting energy‐modelling processes. Indeed, this paper provides useful insights on the factors affecting the smooth energy supply and the reliability of oil and gas supply options to the Greek energy system. Moreover, the presented web tool can be used as a reference point for the researcher working on energy supply risks quantification.

The introduction of the energy corridors perspective in the valuation of supply security is of significant importance, taking into account the constantly increasing energy dependence of EU countries. To the best of the authors' knowledge, a structured and coherent review of the future and present oil and NG corridors to Greece is not present in the international literature. In addition to this, the development of the web tool is a clear contribution towards the quantification of the economic and socio‐political risk analysis and a step forward of the existing studies.

The European Union (EU) energy supply environment is changing significantly and in a dynamic way, establishing the issue of safe energy imports as main priority. Greece relies heavily on energy imports. Furthermore, Greece aims to be elevated into an energy cross road for the energy supply to the EU. In this respect, the aim of this paper is the investigation of the suitability of graph theory concepts on energy supply networks and its application to represent energy corridors to Greece.

Supporting frameworks to represent and assess the vulnerability of the corridors satisfying the Greek demand in oil and gas are considered a crucial issue and are presented in this paper, based on the graph theory approach. In addition, a pilot application of the shortest path algorithm and the maximum flow at minimum risk algorithm for the oil and gas corridors to Greece is presented and discussed.

This paper introduces the application of graph theory to energy policy analysis. Indeed, the pilot application in oil and gas supply corridors to Greece, although quite simplified, has indicated the applicability of graph theory concepts in such problems and is considered a step forward of the existing studies, supporting the design efforts towards the development of a more reliable energy supply system.

To the best of the authors' knowledge, graph theory's application to energy corridors is not available in the international literature. In this respect, the added value of the paper is the provision of a sufficient decision support framework for the representation and assessment of the energy corridors' risk of energy availability, through the application of graph theory.