diff --git a/examples/rf_graph.cc b/examples/rf_graph.cc
index 226fd4b..73fda36 100644
--- a/examples/rf_graph.cc
+++ b/examples/rf_graph.cc
@@ -15,7 +15,7 @@ using namespace tiledkernel::graph;
 int main() {
     // Build a RF Gemm graph
 
-    std::cout << "Run RF GEMM Graph Example:" << std::endl;
+    std::cout << "Run RF GEMM Graph Example:" << std::endl << std::endl;
     // Define buffers
     auto sA = std::make_shared<TiledBuffer>("sA", MemoryLevel::Shared,
                                             DataType::Float32);
@@ -78,6 +78,26 @@ int main() {
         std::vector<EdgePtr>{acc_sC_edge},
         std::vector<EdgePtr>{rA_gemm_edge, rB_gemm_edge, gemm_acc_edge});
 
+    // Define Access Map
+    auto rA_gemm_access_map_i = std::make_shared<AccessMap>(
+        1, 1, std::vector<std::vector<int32_t>>{std::vector<int32_t>{1}},
+        std::vector<std::pair<int32_t, int32_t>>{std::make_pair(0, 10)},
+        std::vector<int32_t>{1}, std::vector<int32_t>{0});
+
+    auto rB_gemm_access_map_i = std::make_shared<AccessMap>(
+        1, 1, std::vector<std::vector<int32_t>>{std::vector<int32_t>{1}},
+        std::vector<std::pair<int32_t, int32_t>>{std::make_pair(0, 10)},
+        std::vector<int32_t>{1}, std::vector<int32_t>{0});
+
+    auto gemm_acc_access_map_i = std::make_shared<AccessMap>(
+        1, 1, std::vector<std::vector<int32_t>>{std::vector<int32_t>{0}},
+        std::vector<std::pair<int32_t, int32_t>>{std::make_pair(0, 10)},
+        std::vector<int32_t>{1}, std::vector<int32_t>{0});
+
+    rA_gemm_edge->setAccessMapI(rA_gemm_access_map_i);
+    rB_gemm_edge->setAccessMapI(rB_gemm_access_map_i);
+    gemm_acc_edge->setAccessMapI(gemm_acc_access_map_i);
+
     auto sorted_nodes = rf_gemm_graph->topoSort();
 
     std::cout << "ID\tName" << std::endl;
@@ -85,6 +105,8 @@ int main() {
         std::cout << node->id << "\t" << node->name << std::endl;
     }
 
+    std::cout << std::endl;
+
     auto generator = std::make_shared<TiledGenerator>();
 
     auto kernel = generator->emit(Platform::Cute, rf_gemm_graph);
diff --git a/include/access_map.hpp b/include/access_map.hpp
index 09c700b..3383071 100644
--- a/include/access_map.hpp
+++ b/include/access_map.hpp
@@ -4,6 +4,7 @@
 #include "context.hpp"
 #include <vector>
 #include <string>
+#include <memory>
 
 namespace tiledkernel {
     class AccessMap {
@@ -30,5 +31,7 @@ namespace tiledkernel {
         // loop_depth
         std::vector<int32_t> step_size;
         std::vector<int32_t> offset;
+
+        using Pointer = std::shared_ptr<AccessMap>;
     };
 }  // namespace tiledkernel
\ No newline at end of file
diff --git a/include/graph/tilededge.hpp b/include/graph/tilededge.hpp
index 60a5d54..689c825 100644
--- a/include/graph/tilededge.hpp
+++ b/include/graph/tilededge.hpp
@@ -1,6 +1,5 @@
 #pragma once
 #include "mem_level.hpp"
-#include "microop.hpp"
 #include "platform.hpp"
 #include "access_map.hpp"
 #include "id.hpp"
@@ -9,16 +8,20 @@
 
 namespace tiledkernel::graph {
 
+    enum class EdgeType { Load, Store, Compute };
+
     class TiledNode;
 
     class TiledEdge {
        public:
-        std::string name;
-
         TiledEdge(std::string name = "",
                   std::shared_ptr<TiledNode> producer = nullptr,
                   std::shared_ptr<TiledNode> consumer = nullptr);
 
+        std::string getName() { return name; }
+
+        ID getID() { return id; }
+
         std::shared_ptr<TiledNode> getProducer() { return producer; }
 
         std::shared_ptr<TiledNode> getConsumer() { return consumer; }
@@ -31,15 +34,30 @@ namespace tiledkernel::graph {
             this->consumer = consumer;
         }
 
+        void setAccessMapI(AccessMap::Pointer access_map_i) {
+            this->access_map_i = access_map_i;
+        }
+
+        void setAccessMapO(AccessMap::Pointer access_map_o) {
+            this->access_map_o = access_map_o;
+        }
+
+        AccessMap::Pointer getAccessMapI() { return access_map_i; }
+
+        AccessMap::Pointer getAccessMapO() { return access_map_o; }
+
+        void inferType();
+
         using Pointer = std::shared_ptr<TiledEdge>;
 
        protected:
-        // std::shared_ptr<TiledBuffer> input;
-        // std::shared_ptr<TiledBuffer> output;
+        std::string name;
         ID id;
+        EdgeType edge_type;
         std::shared_ptr<TiledNode> producer;
         std::shared_ptr<TiledNode> consumer;
-        // std::shared_ptr<AccessMap> access_map;
+        AccessMap::Pointer access_map_i;
+        AccessMap::Pointer access_map_o;
     };
 
     using EdgePtr = std::shared_ptr<TiledEdge>;
diff --git a/include/graph/tilednode.hpp b/include/graph/tilednode.hpp
index 892300f..29234fc 100644
--- a/include/graph/tilednode.hpp
+++ b/include/graph/tilednode.hpp
@@ -6,6 +6,7 @@
 #include <memory>
 #include <string>
 #include <variant>
+#include <optional>
 
 namespace tiledkernel::graph {
     class TiledEdge;
@@ -47,8 +48,17 @@ namespace tiledkernel::graph {
             return OpType::Null;
         }
 
+        MemoryLevel getMemLevel() { return mem_level; }
+
         std::string getName() { return name; }
 
+        std::optional<std::string> getBufferName() {
+            if (node_type == NodeType::Buffer) {
+                return std::get<std::shared_ptr<TiledBuffer>>(data)->name;
+            }
+            return {};
+        }
+
         std::vector<std::shared_ptr<TiledEdge>> getInEdges() {
             return in_edges;
         }
diff --git a/include/kernel/header.hpp b/include/kernel/header.hpp
new file mode 100644
index 0000000..0f2a4f2
--- /dev/null
+++ b/include/kernel/header.hpp
@@ -0,0 +1,5 @@
+namespace tiledkernel::kernel {
+    enum class Header {
+        Cute,
+    };
+}
\ No newline at end of file
diff --git a/include/mem_level.hpp b/include/mem_level.hpp
index a718e55..a935bb0 100644
--- a/include/mem_level.hpp
+++ b/include/mem_level.hpp
@@ -1,4 +1,8 @@
 #pragma once
 namespace tiledkernel {
-    enum MemoryLevel { RF, Shared, Global };
-};
\ No newline at end of file
+    enum MemoryLevel { RF = 1, Shared = 2, Global = 3 };
+
+    // bool operator>(MemoryLevel a, MemoryLevel b) {
+    //     return static_cast<int>(a) > static_cast<int>(b);
+    // }
+};  // namespace tiledkernel
\ No newline at end of file
diff --git a/src/generator.cc b/src/generator.cc
index f032a76..74a940b 100644
--- a/src/generator.cc
+++ b/src/generator.cc
@@ -1,4 +1,5 @@
 #include "graph/tilednode.hpp"
+#include "graph/tilededge.hpp"
 #include "generator.hpp"
 #include "error_handler.hpp"
 #include <fmt/core.h>
@@ -70,10 +71,26 @@ namespace tiledkernel {
         auto rB = predecessors[1];
         auto acc = successors[0];
 
+        auto gemm_in_edges = node->getInEdges();
+        auto gemm_out_edges = node->getOutEdges();
+
+        ASSERT(gemm_in_edges.size() == 2, "Gemm node should have 2 in edges.");
+        ASSERT(gemm_out_edges.size() == 1, "Gemm node should have 1 out edge.");
+
         // TODO: Add `access_map` to `TiledNode` to store the access pattern.
         std::string kernel;
-        kernel += fmt::format("gemm({}, {}, {});\n", rA->getName(),
-                              rB->getName(), acc->getName());
+
+        // TODO: Generate  `for` loop.
+        auto access_map_rA = gemm_in_edges[0]->getAccessMapI();
+        auto access_map_rB = gemm_in_edges[1]->getAccessMapI();
+        auto access_map_acc = gemm_out_edges[0]->getAccessMapI();
+
+        // TODO: Check if the access map is valid.
+
+        // TODO: Use macro kernel instead of hardcoding the kernel.
+        kernel += fmt::format(
+            "gemm({}, {}, {});\n", rA->getBufferName().value(),
+            rB->getBufferName().value(), acc->getBufferName().value());
         return kernel;
     }
 
diff --git a/src/graph/tilededge.cc b/src/graph/tilededge.cc
index efe5db9..999fdf6 100644
--- a/src/graph/tilededge.cc
+++ b/src/graph/tilededge.cc
@@ -1,5 +1,6 @@
 #include "graph/tilededge.hpp"
 #include "graph/tilednode.hpp"
+#include "error_handler.hpp"
 
 namespace tiledkernel::graph {
 
@@ -8,4 +9,27 @@ namespace tiledkernel::graph {
         : name(name), producer(producer), consumer(consumer) {
         id = ID::make();
     }
+
+    void TiledEdge::inferType() {
+        auto producer = getProducer();
+        auto consumer = getConsumer();
+        auto producer_type = producer->getType();
+        auto consumer_type = consumer->getType();
+        if (producer_type == NodeType::Buffer &&
+            consumer_type == NodeType::Buffer) {
+            if (producer->getMemLevel() >= consumer->getMemLevel()) {
+                edge_type = EdgeType::Load;
+            } else {
+                edge_type = EdgeType::Store;
+            }
+        } else if (producer_type == NodeType::Buffer &&
+                   consumer_type == NodeType::Operator) {
+            edge_type = EdgeType::Compute;
+        } else if (producer_type == NodeType::Operator &&
+                   consumer_type == NodeType::Buffer) {
+            edge_type = EdgeType::Compute;
+        } else {
+            TODO("Not implemented yet");
+        }
+    }
 };  // namespace tiledkernel::graph
\ No newline at end of file