Mathematical Graph Theory Specialist
Overview for Job Profile
As a Mathematical Graph Theory Specialist, you will apply advanced mathematical and graph-theoretical reasoning to interpret and improve the complex graph-based knowledge representations used within the Knowledge Plane. Your role focuses on analysing the structure and behaviour of large-scale knowledge graphs—including representations of telecom domain structures and other system contexts—to identify patterns, dependencies, motifs, and emergent properties. You will determine how these knowledge representations should evolve or be refined for more effective reasoning and decision support. Working with TRAM Entities, you will apply deep mathematical reasoning to structured graph knowledge and contribute graph-theoretical insights into autonomous decision-making and support the evolution of autonomous network.
Responsibilities
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Interpret and analyse large-scale graph-based knowledge representations, including models of telecom domain structures and other system contexts, using advanced mathematical and graph-theoretical methods to identify patterns, dependencies, motifs, anomalies, and emergent behaviours.
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Apply deep mathematical graph theory to deliver structural reasoning that goes beyond metric-level graph analysis, using those metrics as complementary inputs while explaining why behaviours arise and determining how knowledge representations should evolve or be refined for more effective reasoning and decision support.
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Represent information as structured graph knowledge through appropriate abstractions, ontologies, and semantic modelling techniques.
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Reason about state, constraints, and relationships across telecom and system domains using structural, spectral, probabilistic, and combinatorial graph concepts.
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Drive the development and evolution of the Knowledge Plane essential for achieving Autonomous Network capabilities.
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Work with TRAM Entities to embed graph-theoretical reasoning into analysis and decision-making workflows to achieve their respective autonomous network goals.
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Contribute graph-based reasoning into the IAADE loop (Intent, Awareness, Analysis, Decision, Execution) to support autonomous decision making.
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Advance mathematical graph methodologies by introducing new structural, spectral, probabilistic, or combinatorial approaches that enhance analysis and interpretation of complex knowledge graphs.
Skills & Experience
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Strong foundation in advanced and applied mathematical graph theory, including structural, spectral, probabilistic, random graph, and combinatorial concepts relevant to analysing and interpreting complex knowledge graph structures.
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Applied experience with graph-theoretical reasoning and structural analysis, including flows, matchings, embeddings, decompositions, connectivity structures, isomorphism intuition, and the interpretation of large, heterogeneous graph representations
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Ability to analyse and improve graph-based knowledge representations, providing mathematically grounded insights into how entities, relationships, constraints, and dependencies should be structured, refined, or reorganised to support effective reasoning and decision making
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Experience with knowledge-graph and semantic technologies, including ontology design, semantic modelling, and rule-based reasoning.
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Strong mathematical reasoning skills, capable of deriving explanations for structural behaviours and identifying how graph knowledge models should evolve.
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Programming proficiency in Python, Java, and/or Scala, with the ability to work effectively with graph-related, reasoning-oriented, or enterprise integration frameworks.
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Experience applying graph-theoretical analysis in telecom or other complex system domains.
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Familiarity with GQL or SPARQL query concepts and graph-query patterns used in knowledge-graph environments.
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Understanding of how graph-based reasoning supports autonomous decision-making frameworks
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Exposure to graph-based modelling in large-scale distributed environments, with the ability to interpret and reason about such structures.
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Formal academic background in mathematics or a closely related field, particularly with exposure to graph theory or combinatorics.
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Strong analytical and problem-solving skills.
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Ability to communicate complex mathematical concepts clearly to technical and non-technical stakeholders
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Demonstrated ability to work in cross-functional teams and drive innovation.
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Demonstrated commitment to staying current with industry trends, innovations, and advancements, including active participation in relevant communities, forums, or conferences.
