Cycle-Adaptive Modality Principle (CAMP): A Shadow-Graph Approach to E-Learning Scheduling
Year: 2026
Type: conference-paper
Abstract: This study introduces the Cycle-Adaptive Modality Principle (CAMP), a framework for structuring e-learning schedules that preserve instructional rhythm across multiple delivery modes. CAMP maintains that learning continuity is achieved when synchronous, asynchronous, and once-a-week extended sessions follow a recurring cyclic sequence. The framework employs a shadow-graph representation to visualize how courses relate and how learning modes alternate within a semester. By applying classical graph coloring, the minimum number of modality slots required for a balanced schedule was determined-two for even cycles and three for odd cycles. Implemented in the BS Mathematics program at Caraga State University, CAMP produced conflict-free timetables that aligned with institutional principles of blended-learning design. By promoting inclusive, flexible, and sustainable learning structures, the model supports the goals of quality education and lifelong learning articulated in the United Nations Sustainable Development Goals (SDG 4). The results demonstrate that mathematical representation can effectively guide pedagogical planning, providing a systematic and adaptable basis for developing e-learning schedules in higher-education contexts.
Author: Merliza F. Libao
Institution: Caraga State University
Language: English
Topic: Online and Blended Learning
Subfield: Education
Field: Social Sciences
Domain: Social Sciences
SDG: Quality education
Open Access status: hybrid
OpenAlex ID: W7202294513