A Simple Graph Is Regular If Every Vertex Has the Same

question 116

Short Answer

A simple graph is regular if every vertex has the same degree.
(a) For which positive integers n are the following graphs regular: C_n, W_n, K_n, Q_n?
(b) For which positive integers m and n is K_m,n regular?

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Definitions:

Gestalt

A psychological approach emphasizing that the whole of anything is greater than its parts, and focusing on patterns and configurations in human perception.

Psychoanalytic Groups

Groups formed for therapeutic purposes, based on principles of psychoanalysis aiming at uncovering and understanding unconscious motives and conflicts.

Unstructured

Lacking a predefined format or organization, often referring to interviews, data, or environments that are open-ended and flexible.

Psychoanalysis

A therapeutic approach and theory of personality developed by Sigmund Freud, focusing on unconscious processes, childhood experiences, and defense mechanisms shaping behavior.