The AI industry has settled on a dangerously limited definition of what constitutes an ‘agent.’ Most businesses and even many AI practitioners believe that an agent is simply a large language model (LLM) with access to external tools. While this simplified view has produced some impressive demos, it fundamentally misses what makes truly intelligent systems work: their underlying computational architecture.
The reality is that the most powerful AI systems—both agentic workflows and true AI agents—are built on graph-based architectures. This distinction isn’t just academic; it’s the difference between systems that merely follow instructions and those that can adaptively solve complex problems.
The Current Misunderstanding
The mainstream conception of AI agents today is overly simplistic:
- Give an LLM a natural language instruction
- Let it use tools when needed
- Have it return a result
This works for simple, one-off tasks but quickly breaks down when facing:
- Multi-step problems requiring different strategies
- Changing conditions during execution
- Tasks involving exploration or optimization
- Processes needing conditional branching or looping
The reason? This approach lacks a proper computational framework. It’s like trying to build complex software using only a single function call.
Graph Theory: The Foundation of Intelligent Systems
To understand what’s missing, we need to explore a fundamental concept from computer science: graph theory. In particular, two types of graphs:
Directed Acyclic Graphs (DAGs)
A directed acyclic graph is a collection of nodes connected by one-way paths with no cycles (you can never return to a node you’ve already visited). DAGs represent processes where:
- Tasks happen in a specific sequence
- Each step builds on previous steps
- The process has a clear beginning and end
- There’s no need to return to previous states
This is the foundation of what we call agentic workflows—predefined, sequential processes that execute efficiently but follow strict paths.
Directed Cyclic Graphs (DCGs)
In contrast, a directed cyclic graph allows for cycles—paths that can loop back to previously visited nodes. DCGs enable:
- Iterative refinement
- Feedback loops
- Conditional branching and looping
- Dynamic adaptation to changing conditions
These properties form the basis of true AI agents—systems that can explore, learn, and adapt their approach based on intermediate results.
Why This Distinction Matters
The difference between DAGs (workflows) and DCGs (agents) isn’t merely theoretical—it directly impacts what your AI systems can accomplish:
| Capability | DAG-based Workflows | DCG-based Agents |
|---|---|---|
| Predictability | High | Moderate |
| Adaptability | Low | High |
| Problem complexity | Handles known problems | Can tackle novel problems |
| Execution efficiency | Very efficient | May explore suboptimal paths |
| Explainability | Clear process flow | May have emergent behaviors |
Most businesses need both types of systems, applied to the right problems.
Building Graph-Based Systems: Key Components
Let’s examine how graph-based architectures actually work in practice by breaking down the essential components that make them powerful:
Core Elements of Graph-Based Architectures
-
Nodes: The fundamental units of computation in the graph, each representing a discrete step in the process with its own unique functionality. Nodes can be simple (a single API call) or complex (a multi-step reasoning process).
-
Edges: Connections between nodes that define possible transitions. These can be fixed pathways (in workflows) or dynamically determined based on execution results (in agents).
-
State: A shared context that persists throughout execution, allowing information to flow between nodes. This state evolves as each node processes it, creating a cohesive memory.
-
Execution Engine: The system that walks through the graph, activating nodes in sequence according to the defined pathways or decision logic.
Essential Behaviors Enabled by This Architecture
This architectural approach enables several powerful capabilities:
-
State Management: The graph maintains a consistent state object that carries information between nodes, creating continuity throughout the process.
-
Lifecycle Hooks: Each node typically has distinct phases such as preparation, main execution, and post-processing, allowing for clean separation of concerns.
-
Dynamic Routing: The next node to execute can be determined based on the results of the current node, enabling conditional logic and branching.
-
Flexible Topology: The same underlying architecture can support both linear workflows (DAGs) and complex agents with loops and recursive patterns (DCGs).
-
Persistence: The entire state of execution can be saved at any point, allowing processes to be paused, resumed, or distributed across different systems.
The beauty of this approach is that complex behaviors emerge from the combination of simple, well-defined components—each node handles its specific task while the graph structure defines how these tasks relate to one another.
Practical Applications for Business
How does this abstract architecture translate to real business value? Here are concrete examples:
For DAG-based Workflows:
- Customer Onboarding: Sequence document collection, verification, account setup, and welcome communication with consistent handoffs between departments
- Claims Processing: Route claims through validation, assessment, approval, and payment processes with clear data enrichment at each step
- Content Creation: Manage ideation, drafting, review, approval, and publishing with appropriate stakeholders at each stage
For DCG-based Agents:
- Complex Problem Solving: Iteratively tackle optimization problems like supply chain efficiency or resource allocation
- Customer Support: Explore different troubleshooting approaches based on feedback, looping back to try alternative solutions when needed
- Market Analysis: Dynamically explore data relationships, refine hypotheses, and pursue promising paths of investigation
Implementation Approaches
There are multiple ways to implement graph-based agent architectures in your technology stack:
- From Scratch: Using the pattern shown above, build a custom implementation tailored to your specific needs
- Existing Frameworks: Leverage tools like Apache Airflow (for DAGs) or specialized agent frameworks that support cyclic execution
- Hybrid Approaches: Combine the structure of graph-based systems with the reasoning capabilities of LLMs to get the best of both worlds
The right approach depends on your technical resources, problem complexity, and performance requirements.
Human-in-the-Loop: Where Graphs Excel
One of the most powerful yet underappreciated capabilities of graph-based architectures is their natural fit for human-in-the-loop (HITL) scenarios. While simple prompt-based agents struggle with seamless human collaboration, graph-based systems handle it elegantly.
Why Traditional Approaches Fall Short
When a conventional ‘LLM + tools’ agent needs human input, it typically faces several challenges:
- State Management: The agent loses its context and reasoning path when waiting for human input
- Process Continuity: Restarting the process often means repeating work or losing progress
- Decision Branching: Adapting the process based on human decisions is difficult to implement
- Explainability: Humans can’t easily see what steps the agent has taken or plans to take next
How Graph Architecture Solves These Problems
Graph-based agents naturally address these issues through their fundamental structure:
- Persistent State: The graph’s state can be saved at any point, allowing the system to pause at a human intervention node and resume exactly where it left off
- Visible Decision Paths: The graph structure makes the agent’s decision-making process transparent to humans
- Natural Intervention Points: Specific nodes can be designed for human input, approval, or override
- Adaptive Routing: Based on human feedback, the agent can dynamically select different paths through the graph
Practical HITL Scenarios Enabled by Graphs
Here are conceptual examples of how graph-based agents enable sophisticated human-in-the-loop workflows:
1. Progressive Disclosure and Review
A research agent structured as a graph can:
- Complete initial information gathering independently
- Pause at a ‘Human Review’ node to present findings
- Based on human feedback, branch to either deeper research or conclusion paths
- Maintain all previously gathered context regardless of how long the human takes to respond
2. Conditional Human Escalation
A customer service agent can:
- Handle routine inquiries through predetermined graph paths
- Detect edge cases or sensitive issues via specific nodes
- Seamlessly transition to human operators while preserving the entire conversation context
- Allow the human to redirect the graph execution to specialized handling paths
3. Collaborative Creation Processes
A content creation system can:
- Generate initial drafts following a specific creative direction
- Pause for human refinement of key elements
- Resume processing with the human’s changes incorporated
- Iterate between AI-led and human-led phases without losing continuity
4. Approval Workflows with Context
A decision-making agent can:
- Gather and analyze relevant data through multiple graph nodes
- Present recommendations with full context at approval nodes
- Implement different execution paths based on approval decisions
- Maintain an auditable graph of the entire decision process
The Graph Advantage for HITL
What makes graph-based architectures particularly suited for human collaboration is the decoupling of state from execution logic. This separation allows:
- Humans to understand and modify the system’s state at well-defined intervention points
- Processes to be paused for arbitrary lengths of time without degradation
- Clear documentation of which decisions were made by the AI and which by humans
- Fine-grained control over which parts of a process require human oversight
This stands in stark contrast to monolithic agent implementations, where human intervention often requires restarting the entire process or leads to fragmented experiences.
The Path Forward: Beyond ‘LLM + Tools’
If you’re looking to implement truly intelligent systems in your business, here’s how to move beyond the limited ‘LLM + tools’ paradigm:
- Identify Process Types: Map your business processes and determine which need the predictability of workflows (DAGs) versus the adaptability of agents (DCGs)
- Start with Structure: Begin with the graph structure first, before adding intelligence through models
- Build Incrementally: Start with simple graphs and gradually increase complexity
- Measure Results: Compare the performance of graph-based systems against traditional approaches using concrete metrics
- Plan for Human Collaboration: Design your graph nodes with intentional points for human intervention, review, and redirection
Conclusion: Rethinking What ‘Agents’ Really Means
The AI industry’s current definition of agents—LLMs with tool use—represents only a small fraction of what’s possible. By incorporating graph theory into our understanding of agent architectures, we unlock vastly more powerful systems.
For business leaders, this isn’t just a technical distinction. It’s about understanding the true capabilities and limitations of the AI systems you’re investing in. While everyone else focuses on which LLM to use or which tools to connect, the real competitive advantage lies in the computational architecture underneath.
Graph-based agents aren’t just a theoretical improvement—they represent a fundamental shift in how AI systems reason about and solve problems. As we move beyond the hype of generative AI, these architectural patterns will increasingly separate truly intelligent systems from mere parlor tricks.
The future belongs to those who understand not just what AI can do, but how it does it.
I hope you found this article helpful. If you want to take your agentic AI to the next level, consider booking a consultation or subscribing to premium content.