RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.
728 results for "graph theory" — page 4 of 37
T_1_18 — Attachment Theory
Attachment theory — one of the most influential frameworks in developmental and clinical psychology — proposes that early bonds between infants and caregivers shape social, emotional, and cognitive development across the
T_1_14 — Self-Determination Theory: Autonomy, Competence, Relatedness, and Intrinsic Motivation
Self-Determination Theory (SDT) — developed by Edward Deci and Richard Ryan (University of Rochester, 1985–present) — is one of the most influential and empirically supported theories of human motivation, proposing that
T_1_15 — Schema Theory: Cognitive Frameworks, Scripts, and Knowledge Organization
Schema theory — the idea that the mind organizes knowledge into structured mental frameworks (schemas) that guide perception, memory, and reasoning — is one of the foundational concepts in cognitive psychology, linking w
T_3_11 — Color Psychology and Synesthesia
Color psychology examines how color perception influences cognition, emotion, and behavior, while synesthesia is a neurological condition in which stimulation of one sensory modality automatically triggers perception in
T_3_04 — Sleep Psychology and Dreams
Sleep occupies approximately one-third of human life yet its functions remain among the most actively investigated questions in neuroscience and psychology.
T_5_23 — Psychogeography: Environment, Perception, and the Politics of Space
Psychogeography — the study of how geographic environments affect emotions, behavior, and perception — originated as a radical political and artistic practice within the Situationist International of the 1950s–60s, led b
D_2_05 — Troy (Hisarlik): Schliemann, Stratigraphy, and the Birth of Field Archaeology
Troy (modern Hisarlik, northwestern Turkey) is one of the most famous archaeological sites in the world, identified with the legendary city of Homer's Iliad. The mound contains at least nine major stratigraphic layers sp
D_1_16 — Göbekli Tepe Pillar Reliefs: Iconographic Analysis
The monumental T-shaped limestone pillars of Göbekli Tepe (southeastern Turkey, c. 9600–8000 BCE) bear the world's oldest known examples of monumental relief sculpture — an extraordinary corpus of carved imagery that pro
ZD_1_17 — Integrated Information Theory
Integrated Information Theory (IIT) is a mathematical theory of consciousness developed by Giulio Tononi (University of Wisconsin-Madison, 2004; IIT 3.0, 2014; IIT 4.0, 2022) that attempts to explain what consciousness i
ZD_1_16 — Quantum Information Theory
Quantum information theory — the study of how information is encoded, processed, and transmitted using quantum mechanical systems — has emerged as one of the most transformative research fields of the 21st century, unify
ZD_1_03 — Information as Fundamental Reality
Multiple converging lines of evidence suggest information, not matter or energy, may be the most fundamental constituent of reality. From Wheeler's "It from Bit" to the holographic principle (3D reality encoded on 2D bou
ZD_4_06 — Mathematical Sociology and Network Analysis
Mathematical sociology applies formal mathematical models — graph theory, probability, game theory, dynamical systems, and statistical mechanics — to understand social structures, collective behavior, and institutional d
ZD_4_11 — Social Network Analysis — Granovetter, Small Worlds, Influence
Social network analysis (SNA) — the study of social structures through the use of graph theory and network science, where individuals (or organizations, nations, etc.) are represented as nodes and their relationships (fr
R_4_17 — Biogeography & the Wallace Line: Continental Drift, Island Life, and Distribution Puzzles
Biogeography — the study of the geographic distribution of organisms, both past and present — has been central to evolutionary biology since Alfred Russel Wallace (1823–1913) identified the sharp faunal boundary between
R_5_19 — Evolutionary Game Theory: Cooperation, Altruism, and Strategy in Nature
Evolutionary game theory applies mathematical game theory to biological evolution, explaining how natural selection favors strategies for survival and reproduction in competitive and cooperative interactions. The field's
S_1_09 — Quantum Cryptography and Post-Quantum Security
Quantum cryptography and post-quantum cryptography address the existential threat that quantum computers pose to current encryption. The threat: large-scale quantum computers running Shor's algorithm (Peter Shor, 1994) c
S_3_18 — Graphene and Nanotube Applications
Graphene — a single atomic layer of carbon atoms arranged in a two-dimensional hexagonal (honeycomb) lattice — and carbon nanotubes (CNTs) — seamless cylinders of rolled graphene sheets — represent two of the most extrao
ZA_2_13 — Quantum Gravity Approaches
Quantum gravity is the unfinished quest to unify general relativity (GR) — which describes gravity as spacetime curvature at macroscopic scales — with quantum mechanics (QM), which governs microscopic physics. The challe
ZA_1_10 — Feynman Diagrams: The Visual Language of Quantum Field Theory
Feynman diagrams — the pictorial representations of mathematical expressions describing the behavior of subatomic particles — are among the most powerful and iconic tools in theoretical physics, invented by Richard Feynm
ZA_5_18 — Quantum Cryptography and Key Distribution
Quantum cryptography exploits fundamental principles of quantum mechanics — the no-cloning theorem, the observer effect, and quantum entanglement — to achieve provably secure communication. Unlike classical encryption (w
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