A Simple Graph Is Regular If Every Vertex Has the Same

question 86

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:

Personal Attributes Questionnaire

A psychological assessment tool used to measure personality traits and personal attributes.

Gender Personality

Pertains to the social and cultural aspects of being male or female influencing one’s personality traits, beyond biological and physiological differences.

Spatial Ability

The ability to mentally rotate objects.

Cognitive Rotation

The mental ability to rotate objects or oneself in three-dimensional space to analyze or solve spatial problems.